64901542464 has 1008 divisors, whose sum is σ = 241527787200. Its totient is φ = 16970342400.

The previous prime is 64901542451. The next prime is 64901542507. The reversal of 64901542464 is 46424510946.

64901542464 is a `hidden beast` number, since 6 + 49 + 0 + 1 + 542 + 4 + 64 = 666.

64901542464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2093598129 + ... + 2093598159.

It is an arithmetic number, because the mean of its divisors is an integer number (239610900).

Almost surely, 2^64901542464 is an apocalyptic number.

64901542464 is a gapful number since it is divisible by the number (64) 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 64901542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120763893600).

64901542464 is an abundant number, since it is smaller than the sum of its proper divisors (176626244736).

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

64901542464 is a wasteful number, since it uses less digits than its factorization.

64901542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64901542464 in words is "sixty-four billion, nine hundred one million, five hundred forty-two thousand, four hundred sixty-four".