37972426752 has 600 divisors, whose sum is σ = 127888814592. Its totient is φ = 11147673600.

The previous prime is 37972426741. The next prime is 37972426759. The reversal of 37972426752 is 25762427973.

It is a happy number.

37972426752 is a `hidden beast` number, since 379 + 7 + 2 + 4 + 267 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8890560) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37972426759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534822877 + ... + 534822947.

Almost surely, 2^37972426752 is an apocalyptic number.

37972426752 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 37972426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63944407296).

37972426752 is an abundant number, since it is smaller than the sum of its proper divisors (89916387840).

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

37972426752 is an equidigital number, since it uses as much as digits as its factorization.

37972426752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

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

The spelling of 37972426752 in words is "thirty-seven billion, nine hundred seventy-two million, four hundred twenty-six thousand, seven hundred fifty-two".