64864038590208 has 648 divisors, whose sum is σ = 221552874348624. Its totient is φ = 18091966464000.

The previous prime is 64864038590203. The next prime is 64864038590297. The reversal of 64864038590208 is 80209583046846.

64864038590208 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 4 + 0 + 38 + 590 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64864038590203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1511925558 + ... + 1511968458.

Almost surely, 2^{64864038590208} 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 64864038590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110776437174312).

64864038590208 is an abundant number, since it is smaller than the sum of its proper divisors (156688835758416).

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

64864038590208 is a wasteful number, since it uses less digits than its factorization.

64864038590208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43313 (or 43283 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 64864038590208 in words is "sixty-four trillion, eight hundred sixty-four billion, thirty-eight million, five hundred ninety thousand, two hundred eight".