64034620416 has 352 divisors, whose sum is σ = 205668149120. Its totient is φ = 19564167168.

The previous prime is 64034620399. The next prime is 64034620457. The reversal of 64034620416 is 61402643046.

64034620416 is a `hidden beast` number, since 6 + 403 + 46 + 204 + 1 + 6 = 666.

It is a super-2 number, since 2×64034620416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 58585566 + ... + 58586658.

Almost surely, 2^64034620416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64034620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102834074560).

64034620416 is an abundant number, since it is smaller than the sum of its proper divisors (141633528704).

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

64034620416 is a wasteful number, since it uses less digits than its factorization.

64034620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 64034620416 in words is "sixty-four billion, thirty-four million, six hundred twenty thousand, four hundred sixteen".