164504977560 has 288 divisors, whose sum is σ = 678469381200. Its totient is φ = 34182812160.

The previous prime is 164504977541. The next prime is 164504977577. The reversal of 164504977560 is 65779405461.

164504977560 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 4 + 9 + 77 + 560 = 666.

164504977560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164504977560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164504977497 and 164504977506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229855 + ... + 617934.

Almost surely, 2^164504977560 is an apocalyptic number.

164504977560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164504977560 is an abundant number, since it is smaller than the sum of its proper divisors (513964403640).

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

164504977560 is a wasteful number, since it uses less digits than its factorization.

164504977560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847831 (or 847817 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 164504977560 in words is "one hundred sixty-four billion, five hundred four million, nine hundred seventy-seven thousand, five hundred sixty".