37610166961920 has 1152 divisors, whose sum is σ = 149473333739520. Its totient is φ = 7865081856000.

The previous prime is 37610166961919. The next prime is 37610166961949. The reversal of 37610166961920 is 2916966101673.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8565282925 + ... + 8565287315.

It is an arithmetic number, because the mean of its divisors is an integer number (129751157760).

Almost surely, 2^{37610166961920} is an apocalyptic number.

37610166961920 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 37610166961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74736666869760).

37610166961920 is an abundant number, since it is smaller than the sum of its proper divisors (111863166777600).

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

37610166961920 is a wasteful number, since it uses less digits than its factorization.

37610166961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 37610166961920 in words is "thirty-seven trillion, six hundred ten billion, one hundred sixty-six million, nine hundred sixty-one thousand, nine hundred twenty".