37482951168 has 240 divisors, whose sum is σ = 117177276216. Its totient is φ = 11466178560.

The previous prime is 37482951151. The next prime is 37482951179. The reversal of 37482951168 is 86115928473.

37482951168 is a `hidden beast` number, since 3 + 7 + 48 + 29 + 511 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3491391744 + 33991559424 = 59088^2 + 184368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10840896 + ... + 10844352.

Almost surely, 2^37482951168 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 37482951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58588638108).

37482951168 is an abundant number, since it is smaller than the sum of its proper divisors (79694325048).

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

37482951168 is a wasteful number, since it uses less digits than its factorization.

37482951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3656 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 37482951168 in words is "thirty-seven billion, four hundred eighty-two million, nine hundred fifty-one thousand, one hundred sixty-eight".