37921758481152 has 1008 divisors, whose sum is σ = 140176547611968. Its totient is φ = 9965900759040.

The previous prime is 37921758481151. The next prime is 37921758481199. The reversal of 37921758481152 is 25118485712973.

37921758481152 is a `hidden beast` number, since 3 + 7 + 92 + 1 + 7 + 58 + 481 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 37921758481152.

It is not an unprimeable number, because it can be changed into a prime (37921758481151) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4975951902 + ... + 4975959522.

Almost surely, 2^{37921758481152} is an apocalyptic number.

37921758481152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37921758481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70088273805984).

37921758481152 is an abundant number, since it is smaller than the sum of its proper divisors (102254789130816).

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

37921758481152 is an equidigital number, since it uses as much as digits as its factorization.

37921758481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7939 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 37921758481152 in words is "thirty-seven trillion, nine hundred twenty-one billion, seven hundred fifty-eight million, four hundred eighty-one thousand, one hundred fifty-two".