37493904960 has 84 divisors (see below), whose sum is σ = 128963420508. Its totient is φ = 9998373888.

The previous prime is 37493904947. The next prime is 37493904977. The reversal of 37493904960 is 6940939473.

37493904960 is a `hidden beast` number, since 3 + 7 + 493 + 90 + 4 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13359661056 + 24134243904 = 115584^2 + 155352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 37493904897 and 37493904906.

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 11 ways as a sum of consecutive naturals, for example, 6506479 + ... + 6512238.

Almost surely, 2^37493904960 is an apocalyptic number.

37493904960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37493904960 is an abundant number, since it is smaller than the sum of its proper divisors (91469515548).

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

37493904960 is a wasteful number, since it uses less digits than its factorization.

37493904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018740 (or 13018727 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 37493904960 in words is "thirty-seven billion, four hundred ninety-three million, nine hundred four thousand, nine hundred sixty".