64257532416 has 1280 divisors, whose sum is σ = 259646238720. Its totient is φ = 15182069760.

The previous prime is 64257532387. The next prime is 64257532463. The reversal of 64257532416 is 61423575246.

64257532416 is a `hidden beast` number, since 6 + 4 + 2 + 575 + 32 + 41 + 6 = 666.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 959067615 + ... + 959067681.

It is an arithmetic number, because the mean of its divisors is an integer number (202848624).

Almost surely, 2^64257532416 is an apocalyptic number.

64257532416 is a gapful number since it is divisible by the number (66) 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 64257532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129823119360).

64257532416 is an abundant number, since it is smaller than the sum of its proper divisors (195388706304).

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

64257532416 is a wasteful number, since it uses less digits than its factorization.

64257532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 64257532416 in words is "sixty-four billion, two hundred fifty-seven million, five hundred thirty-two thousand, four hundred sixteen".