37721874960 has 1600 divisors, whose sum is σ = 180451307520. Its totient is φ = 7061852160.

The previous prime is 37721874959. The next prime is 37721875027. The reversal of 37721874960 is 6947812773.

37721874960 is a `hidden beast` number, since 3 + 7 + 72 + 1 + 87 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 37721874897 and 37721874906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 218045434 + ... + 218045606.

Almost surely, 2^37721874960 is an apocalyptic number.

37721874960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37721874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90225653760).

37721874960 is an abundant number, since it is smaller than the sum of its proper divisors (142729432560).

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

37721874960 is a wasteful number, since it uses less digits than its factorization.

37721874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 37721874960 in words is "thirty-seven billion, seven hundred twenty-one million, eight hundred seventy-four thousand, nine hundred sixty".