37650382310772 has 576 divisors, whose sum is σ = 125517542492160. Its totient is φ = 9218982988800.

The previous prime is 37650382310659. The next prime is 37650382310797. The reversal of 37650382310772 is 27701328305673.

37650382310772 is a `hidden beast` number, since 3 + 7 + 6 + 503 + 8 + 23 + 107 + 7 + 2 = 666.

37650382310772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11303025147 + ... + 11303028477.

It is an arithmetic number, because the mean of its divisors is an integer number (217912400160).

Almost surely, 2^{37650382310772} 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 37650382310772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62758771246080).

37650382310772 is an abundant number, since it is smaller than the sum of its proper divisors (87867160181388).

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

37650382310772 is a wasteful number, since it uses less digits than its factorization.

37650382310772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 37650382310772 in words is "thirty-seven trillion, six hundred fifty billion, three hundred eighty-two million, three hundred ten thousand, seven hundred seventy-two".