37668617056 has 48 divisors (see below), whose sum is σ = 84790589184. Its totient is φ = 16136797824.

The previous prime is 37668617053. The next prime is 37668617059. The reversal of 37668617056 is 65071686673.

It is an interprime number because it is at equal distance from previous prime (37668617053) and next prime (37668617059).

It is a junction number, because it is equal to n+sod(n) for n = 37668616988 and 37668617006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37668617053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 508051 + ... + 577453.

It is an arithmetic number, because the mean of its divisors is an integer number (1766470608).

Almost surely, 2^37668617056 is an apocalyptic number.

It is an amenable number.

37668617056 is an abundant number, since it is smaller than the sum of its proper divisors (47121972128).

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

37668617056 is a wasteful number, since it uses less digits than its factorization.

37668617056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71843 (or 71835 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 37668617056 in words is "thirty-seven billion, six hundred sixty-eight million, six hundred seventeen thousand, fifty-six".