8137374336 has 432 divisors, whose sum is σ = 29530265310. Its totient is φ = 2143604736.

The previous prime is 8137374317. The next prime is 8137374353. The reversal of 8137374336 is 6334737318.

It can be written as a sum of positive squares in 3 ways, for example, as 1982030400 + 6155343936 = 44520^2 + 78456^2 .

It is a super-2 number, since 2×8137374336² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8137374291 and 8137374300.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9539286 + ... + 9540138.

Almost surely, 2^8137374336 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 8137374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765132655).

8137374336 is an abundant number, since it is smaller than the sum of its proper divisors (21392890974).

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

8137374336 is a wasteful number, since it uses less digits than its factorization.

8137374336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 878 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 8137374336 is about 90207.3962377809. The cubic root of 8137374336 is about 2011.3829526192.

The spelling of 8137374336 in words is "eight billion, one hundred thirty-seven million, three hundred seventy-four thousand, three hundred thirty-six".