36670115664 has 320 divisors, whose sum is σ = 129822246400. Its totient is φ = 9650700288.

The previous prime is 36670115639. The next prime is 36670115681. The reversal of 36670115664 is 46651107663.

36670115664 is a `hidden beast` number, since 3 + 6 + 6 + 70 + 11 + 566 + 4 = 666.

It is a super-2 number, since 2×36670115664² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30230322 + ... + 30231534.

It is an arithmetic number, because the mean of its divisors is an integer number (405694520).

Almost surely, 2^36670115664 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 36670115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64911123200).

36670115664 is an abundant number, since it is smaller than the sum of its proper divisors (93152130736).

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

36670115664 is a wasteful number, since it uses less digits than its factorization.

36670115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 36670115664 in words is "thirty-six billion, six hundred seventy million, one hundred fifteen thousand, six hundred sixty-four".