37797372055872 has 1120 divisors, whose sum is σ = 140206845905280. Its totient is φ = 9950207754240.

The previous prime is 37797372055843. The next prime is 37797372055879. The reversal of 37797372055872 is 27855027379773.

37797372055872 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 7 + 37 + 2 + 0 + 5 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 37797372055872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37797372055879) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2129780503 + ... + 2129798249.

It is an arithmetic number, because the mean of its divisors is an integer number (125184683844).

Almost surely, 2^{37797372055872} is an apocalyptic number.

37797372055872 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 37797372055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70103422952640).

37797372055872 is an abundant number, since it is smaller than the sum of its proper divisors (102409473849408).

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

37797372055872 is a wasteful number, since it uses less digits than its factorization.

37797372055872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838 (or 17793 counting only the distinct ones).

The product of its (nonzero) digits is 1089093600, while the sum is 72.

The spelling of 37797372055872 in words is "thirty-seven trillion, seven hundred ninety-seven billion, three hundred seventy-two million, fifty-five thousand, eight hundred seventy-two".