64000000000008 has 384 divisors, whose sum is σ = 187415439120000. Its totient is φ = 19668509392896.

The previous prime is 64000000000007. The next prime is 64000000000033. The reversal of 64000000000008 is 80000000000046.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 64000000000008.

It is not an unprimeable number, because it can be changed into a prime (64000000000007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8545863528 + ... + 8545871016.

It is an arithmetic number, because the mean of its divisors is an integer number (488061039375).

Almost surely, 2^{64000000000008} 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 64000000000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93707719560000).

64000000000008 is an abundant number, since it is smaller than the sum of its proper divisors (123415439119992).

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

64000000000008 is a wasteful number, since it uses less digits than its factorization.

64000000000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 64000000000008 in words is "sixty-four trillion, eight", and thus it is an aban number.