37902966167040 has 2560 divisors, whose sum is σ = 150925740134400. Its totient is φ = 8011036753920.

The previous prime is 37902966166991. The next prime is 37902966167051. The reversal of 37902966167040 is 4076166920973.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144117741949 + ... + 144117742211.

It is an arithmetic number, because the mean of its divisors is an integer number (58955367240).

Almost surely, 2^{37902966167040} is an apocalyptic number.

37902966167040 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 37902966167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75462870067200).

37902966167040 is an abundant number, since it is smaller than the sum of its proper divisors (113022773967360).

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

37902966167040 is a wasteful number, since it uses less digits than its factorization.

37902966167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 37902966167040 in words is "thirty-seven trillion, nine hundred two billion, nine hundred sixty-six million, one hundred sixty-seven thousand, forty".