64516181875776 has 168 divisors, whose sum is σ = 188091617313600. Its totient is φ = 21137149393920.

The previous prime is 64516181875753. The next prime is 64516181875793. The reversal of 64516181875776 is 67757818161546.

64516181875776 is a `hidden beast` number, since 6 + 45 + 1 + 6 + 1 + 8 + 1 + 8 + 7 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194936805 + ... + 195267483.

It is an arithmetic number, because the mean of its divisors is an integer number (1119592960200).

Almost surely, 2^{64516181875776} 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 64516181875776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94045808656800).

64516181875776 is an abundant number, since it is smaller than the sum of its proper divisors (123575435437824).

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

64516181875776 is a wasteful number, since it uses less digits than its factorization.

64516181875776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336497 (or 336484 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 72.

The spelling of 64516181875776 in words is "sixty-four trillion, five hundred sixteen billion, one hundred eighty-one million, eight hundred seventy-five thousand, seven hundred seventy-six".