37438955568 has 520 divisors, whose sum is σ = 135224014752. Its totient is φ = 9795520512.

The previous prime is 37438955549. The next prime is 37438955569. The reversal of 37438955568 is 86555983473.

37438955568 is a `hidden beast` number, since 3 + 7 + 438 + 95 + 55 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (108864000) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (37438955569) by changing a digit.

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 103 ways as a sum of consecutive naturals, for example, 1011863646 + ... + 1011863682.

Almost surely, 2^37438955568 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 37438955568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67612007376).

37438955568 is an abundant number, since it is smaller than the sum of its proper divisors (97785059184).

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

37438955568 is an frugal number, since it uses more digits than its factorization.

37438955568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 37438955568 in words is "thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-five thousand, five hundred sixty-eight".