37131814720 has 672 divisors, whose sum is σ = 123105159936. Its totient is φ = 10351411200.

The previous prime is 37131814667. The next prime is 37131814723. The reversal of 37131814720 is 2741813173.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 37131814720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37131814723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154073800 + ... + 154074040.

Almost surely, 2^37131814720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37131814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61552579968).

37131814720 is an abundant number, since it is smaller than the sum of its proper divisors (85973345216).

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

37131814720 is a wasteful number, since it uses less digits than its factorization.

37131814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 37131814720 in words is "thirty-seven billion, one hundred thirty-one million, eight hundred fourteen thousand, seven hundred twenty".