37725681510912 has 320 divisors, whose sum is σ = 107950214744064. Its totient is φ = 11665492869120.

The previous prime is 37725681510863. The next prime is 37725681510949. The reversal of 37725681510912 is 21901518652773.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934084383 + ... + 934124769.

Almost surely, 2^{37725681510912} is an apocalyptic number.

37725681510912 is a gapful number since it is divisible by the number (32) 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 37725681510912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53975107372032).

37725681510912 is an abundant number, since it is smaller than the sum of its proper divisors (70224533233152).

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

37725681510912 is a wasteful number, since it uses less digits than its factorization.

37725681510912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40939 (or 40923 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 57.

The spelling of 37725681510912 in words is "thirty-seven trillion, seven hundred twenty-five billion, six hundred eighty-one million, five hundred ten thousand, nine hundred twelve".