677577604727664 has 30 divisors (see below), whose sum is σ = 1896276213231296. Its totient is φ = 225859201575840.

The previous prime is 677577604727609. The next prime is 677577604727687. The reversal of 677577604727664 is 466727406775776.

677577604727664 is a `hidden beast` number, since 6 + 7 + 7 + 5 + 7 + 76 + 0 + 472 + 76 + 6 + 4 = 666.

It is a super-2 number, since 2×677577604727664² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2352700016272 + ... + 2352700016559.

Almost surely, 2^{677577604727664} is an apocalyptic number.

It is an amenable number.

677577604727664 is an abundant number, since it is smaller than the sum of its proper divisors (1218698608503632).

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

677577604727664 is a wasteful number, since it uses less digits than its factorization.

677577604727664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705400032845 (or 4705400032836 counting only the distinct ones).

The product of its (nonzero) digits is 24395696640, while the sum is 81.

The spelling of 677577604727664 in words is "six hundred seventy-seven trillion, five hundred seventy-seven billion, six hundred four million, seven hundred twenty-seven thousand, six hundred sixty-four".