577064401731216 has 120 divisors (see below), whose sum is σ = 1847501389456320. Its totient is φ = 164713741740288.

The previous prime is 577064401731211. The next prime is 577064401731277. The reversal of 577064401731216 is 612137104460775.

577064401731216 is a `hidden beast` number, since 5 + 7 + 7 + 0 + 6 + 440 + 1 + 73 + 121 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (577064401731211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279877915 + ... + 281932218.

It is an arithmetic number, because the mean of its divisors is an integer number (15395844912136).

Almost surely, 2^{577064401731216} is an apocalyptic number.

577064401731216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

577064401731216 is an abundant number, since it is smaller than the sum of its proper divisors (1270436987725104).

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

577064401731216 is a wasteful number, since it uses less digits than its factorization.

577064401731216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561811173 (or 561811164 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 577064401731216 in words is "five hundred seventy-seven trillion, sixty-four billion, four hundred one million, seven hundred thirty-one thousand, two hundred sixteen".