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64601994240 = 21032571983127
BaseRepresentation
bin111100001010100101…
…000011010000000000
320011202020001100001100
4330022211003100000
52024301102303430
645402220534400
74444616614350
oct741245032000
9204666040040
1064601994240
1125441161493
121062b0b1400
136126cc50c4
1431abb4cb60
151a3178b960
hexf0a943400

64601994240 has 1056 divisors, whose sum is σ = 274676613120. Its totient is φ = 13711638528.

The previous prime is 64601994199. The next prime is 64601994293. The reversal of 64601994240 is 4249910646.

It is a super-3 number, since 3×646019942403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508677057 + ... + 508677183.

Almost surely, 264601994240 is an apocalyptic number.

64601994240 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 64601994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338306560).

64601994240 is an abundant number, since it is smaller than the sum of its proper divisors (210074618880).

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

64601994240 is a wasteful number, since it uses less digits than its factorization.

64601994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 64601 and 994240, that added together give a square (1058841 = 10292).

The spelling of 64601994240 in words is "sixty-four billion, six hundred one million, nine hundred ninety-four thousand, two hundred forty".