37902420864 has 768 divisors, whose sum is σ = 146746828800. Its totient is φ = 9092321280.

The previous prime is 37902420799. The next prime is 37902420877. The reversal of 37902420864 is 46802420973.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72470907 + ... + 72471429.

It is an arithmetic number, because the mean of its divisors is an integer number (191076600).

Almost surely, 2^37902420864 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 37902420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73373414400).

37902420864 is an abundant number, since it is smaller than the sum of its proper divisors (108844407936).

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

37902420864 is a wasteful number, since it uses less digits than its factorization.

37902420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 37902420864 in words is "thirty-seven billion, nine hundred two million, four hundred twenty thousand, eight hundred sixty-four".