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645787680 = 25354433037
BaseRepresentation
bin100110011111011…
…111000000100000
31200000011102011020
4212133133000200
52310310201210
6144025245440
722001050626
oct4637370040
91600142136
10645787680
1130159192a
12160333880
13a3a3a8b5
1461aa5516
153ba64770
hex267df020

645787680 has 96 divisors (see below), whose sum is σ = 2039494464. Its totient is φ = 171764736.

The previous prime is 645787657. The next prime is 645787699. The reversal of 645787680 is 86787546.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211122 + ... + 214158.

It is an arithmetic number, because the mean of its divisors is an integer number (21244734).

Almost surely, 2645787680 is an apocalyptic number.

645787680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019747232).

645787680 is an abundant number, since it is smaller than the sum of its proper divisors (1393706784).

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

645787680 is a wasteful number, since it uses less digits than its factorization.

645787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 645787680 is about 25412.3529016894. The cubic root of 645787680 is about 864.3638299660.

The spelling of 645787680 in words is "six hundred forty-five million, seven hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 443 480 886 1329 1772 2215 2658 3037 3544 4430 5316 6074 6645 7088 8860 9111 10632 12148 13290 14176 15185 17720 18222 21264 24296 26580 30370 35440 36444 42528 45555 48592 53160 60740 70880 72888 91110 97184 106320 121480 145776 182220 212640 242960 291552 364440 485920 728880 1345391 1457760 2690782 4036173 5381564 6726955 8072346 10763128 13453910 16144692 20180865 21526256 26907820 32289384 40361730 43052512 53815640 64578768 80723460 107631280 129157536 161446920 215262560 322893840 645787680