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720648864 = 253213712711
BaseRepresentation
bin101010111101000…
…011101010100000
31212020000202101200
4222331003222200
52433441230424
6155302001200
723600262045
oct5275035240
91766022350
10720648864
1133a873181
12181416200
13b63bbc60
146b9d11cc
15434008c9
hex2af43aa0

720648864 has 144 divisors (see below), whose sum is σ = 2238897024. Its totient is φ = 218534400.

The previous prime is 720648839. The next prime is 720648881. The reversal of 720648864 is 468846027.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264469 + ... + 267179.

It is an arithmetic number, because the mean of its divisors is an integer number (15547896).

Almost surely, 2720648864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119448512).

720648864 is an abundant number, since it is smaller than the sum of its proper divisors (1518248160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

720648864 is a wasteful number, since it uses less digits than its factorization.

720648864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 720648864 is about 26844.9038739199. The cubic root of 720648864 is about 896.5501112685.

The spelling of 720648864 in words is "seven hundred twenty million, six hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 234 284 288 312 416 426 468 568 624 639 852 923 936 1136 1248 1278 1704 1846 1872 2272 2556 2711 2769 3408 3692 3744 5112 5422 5538 6816 7384 8133 8307 10224 10844 11076 14768 16266 16614 20448 21688 22152 24399 29536 32532 33228 35243 43376 44304 48798 65064 66456 70486 86752 88608 97596 105729 130128 132912 140972 192481 195192 211458 260256 265824 281944 317187 384962 390384 422916 563888 577443 634374 769924 780768 845832 1127776 1154886 1268748 1539848 1691664 1732329 2309772 2502253 2537496 3079696 3383328 3464658 4619544 5004506 5074992 6159392 6929316 7506759 9239088 10009012 10149984 13858632 15013518 18478176 20018024 22520277 27717264 30027036 40036048 45040554 55434528 60054072 80072096 90081108 120108144 180162216 240216288 360324432 720648864