6637874960 has 80 divisors (see below), whose sum is σ = 16805620800. Its totient is φ = 2428651008.

The previous prime is 6637874959. The next prime is 6637874983. The reversal of 6637874960 is 694787366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6637874960² = 88122767969190003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6637874896 and 6637874905.

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 15 ways as a sum of consecutive naturals, for example, 31214 + ... + 119373.

It is an arithmetic number, because the mean of its divisors is an integer number (210070260).

Almost surely, 2^6637874960 is an apocalyptic number.

It is an amenable number.

6637874960 is an abundant number, since it is smaller than the sum of its proper divisors (10167745840).

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

6637874960 is a wasteful number, since it uses less digits than its factorization.

6637874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150648 (or 150642 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The square root of 6637874960 is about 81473.1548425615. The cubic root of 6637874960 is about 1879.3587446288.

The spelling of 6637874960 in words is "six billion, six hundred thirty-seven million, eight hundred seventy-four thousand, nine hundred sixty".