37962247968 has 270 divisors, whose sum is σ = 115601445729. Its totient is φ = 12220927488.

The previous prime is 37962247949. The next prime is 37962248033. The reversal of 37962247968 is 86974226973.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33934060944 + 4028187024 = 184212^2 + 63468^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=137772.

It is a super-2 number, since 2×37962247968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 426542068 + ... + 426542156.

Almost surely, 2^37962247968 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 37962247968

37962247968 is an abundant number, since it is smaller than the sum of its proper divisors (77639197761).

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

37962247968 is an frugal number, since it uses more digits than its factorization.

37962247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 137 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 37962247968 in words is "thirty-seven billion, nine hundred sixty-two million, two hundred forty-seven thousand, nine hundred sixty-eight".