37121936544 has 432 divisors, whose sum is σ = 136916881920. Its totient is φ = 9329126400.

The previous prime is 37121936531. The next prime is 37121936563. The reversal of 37121936544 is 44563912173.

37121936544 is a `hidden beast` number, since 3 + 7 + 12 + 1 + 93 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 37121936544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7559562 + ... + 7564470.

Almost surely, 2^37121936544 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 37121936544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68458440960).

37121936544 is an abundant number, since it is smaller than the sum of its proper divisors (99794945376).

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

37121936544 is a wasteful number, since it uses less digits than its factorization.

37121936544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4963 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 37121936544 in words is "thirty-seven billion, one hundred twenty-one million, nine hundred thirty-six thousand, five hundred forty-four".