36894595475664 has 360 divisors, whose sum is σ = 111600611140200. Its totient is φ = 11368616675328.

The previous prime is 36894595475659. The next prime is 36894595475753. The reversal of 36894595475664 is 46657459549863.

36894595475664 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 4 + 5 + 9 + 5 + 47 + 566 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 832072352400 + 36062523123264 = 912180^2 + 6005208^2 .

It is a super-2 number, since 2×36894595475664² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419914362 + ... + 420002214.

Almost surely, 2^{36894595475664} 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 36894595475664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800305570100).

36894595475664 is an abundant number, since it is smaller than the sum of its proper divisors (74706015664536).

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

36894595475664 is a wasteful number, since it uses less digits than its factorization.

36894595475664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88099 (or 88067 counting only the distinct ones).

The product of its digits is 23514624000, while the sum is 81.

The spelling of 36894595475664 in words is "thirty-six trillion, eight hundred ninety-four billion, five hundred ninety-five million, four hundred seventy-five thousand, six hundred sixty-four".