64057918464 has 264 divisors, whose sum is σ = 188643463008. Its totient is φ = 20932853760.

The previous prime is 64057918459. The next prime is 64057918469. The reversal of 64057918464 is 46481975046.

64057918464 is a `hidden beast` number, since 6 + 4 + 0 + 579 + 1 + 8 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (64057918459) and next prime (64057918469).

It is a self number, because there is not a number n which added to its sum of digits gives 64057918464.

It is not an unprimeable number, because it can be changed into a prime (64057918469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117107439 + ... + 117107985.

It is an arithmetic number, because the mean of its divisors is an integer number (714558572).

Almost surely, 2^64057918464 is an apocalyptic number.

64057918464 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 64057918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94321731504).

64057918464 is an abundant number, since it is smaller than the sum of its proper divisors (124585544544).

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

64057918464 is a wasteful number, since it uses less digits than its factorization.

64057918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 64057918464 in words is "sixty-four billion, fifty-seven million, nine hundred eighteen thousand, four hundred sixty-four".