37109479680 has 972 divisors, whose sum is σ = 162145931220. Its totient is φ = 7809564672.

The previous prime is 37109479637. The next prime is 37109479681. The reversal of 37109479680 is 8697490173.

It is a happy number.

37109479680 is a `hidden beast` number, since 3 + 7 + 109 + 479 + 68 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11851370496 + 25258109184 = 108864^2 + 158928^2 .

It is a super-2 number, since 2×37109479680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37109479681) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95396926 + ... + 95397314.

Almost surely, 2^37109479680 is an apocalyptic number.

37109479680 is a gapful number since it is divisible by the number (30) 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 37109479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81072965610).

37109479680 is an abundant number, since it is smaller than the sum of its proper divisors (125036451540).

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

37109479680 is a wasteful number, since it uses less digits than its factorization.

37109479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 37109479680 in words is "thirty-seven billion, one hundred nine million, four hundred seventy-nine thousand, six hundred eighty".