64914934464 has 336 divisors, whose sum is σ = 206095518720. Its totient is φ = 20213867520.

The previous prime is 64914934429. The next prime is 64914934489. The reversal of 64914934464 is 46443941946.

64914934464 is a `hidden beast` number, since 6 + 4 + 9 + 149 + 34 + 464 = 666.

64914934464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64914934464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13978927 + ... + 13983569.

It is an arithmetic number, because the mean of its divisors is an integer number (613379520).

Almost surely, 2^64914934464 is an apocalyptic number.

64914934464 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 64914934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103047759360).

64914934464 is an abundant number, since it is smaller than the sum of its proper divisors (141180584256).

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

64914934464 is a wasteful number, since it uses less digits than its factorization.

64914934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4708 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 64914934464 in words is "sixty-four billion, nine hundred fourteen million, nine hundred thirty-four thousand, four hundred sixty-four".