64544918108160 has 768 divisors, whose sum is σ = 237663872409600. Its totient is φ = 14649016320000.

The previous prime is 64544918108117. The next prime is 64544918108171. The reversal of 64544918108160 is 6180181944546.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 64544918108160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19377037695 + ... + 19377041025.

It is an arithmetic number, because the mean of its divisors is an integer number (309458167200).

Almost surely, 2^{64544918108160} is an apocalyptic number.

64544918108160 is a gapful number since it is divisible by the number (60) 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 64544918108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118831936204800).

64544918108160 is an abundant number, since it is smaller than the sum of its proper divisors (173118954301440).

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

64544918108160 is a wasteful number, since it uses less digits than its factorization.

64544918108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 64544918108160 in words is "sixty-four trillion, five hundred forty-four billion, nine hundred eighteen million, one hundred eight thousand, one hundred sixty".