36894112856640 has 896 divisors, whose sum is σ = 147377242252800. Its totient is φ = 8624676372480.

The previous prime is 36894112856621. The next prime is 36894112856651. The reversal of 36894112856640 is 4665821149863.

36894112856640 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 4 + 1 + 1 + 28 + 566 + 40 = 666.

It is a super-2 number, since 2×36894112856640² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198601239 + ... + 198786921.

It is an arithmetic number, because the mean of its divisors is an integer number (164483529300).

Almost surely, 2^{36894112856640} is an apocalyptic number.

36894112856640 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 36894112856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73688621126400).

36894112856640 is an abundant number, since it is smaller than the sum of its proper divisors (110483129396160).

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

36894112856640 is a wasteful number, since it uses less digits than its factorization.

36894112856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185812 (or 185796 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 36894112856640 in words is "thirty-six trillion, eight hundred ninety-four billion, one hundred twelve million, eight hundred fifty-six thousand, six hundred forty".