36543960668160 has 288 divisors, whose sum is σ = 138168877850640. Its totient is φ = 8859141734400.

The previous prime is 36543960668119. The next prime is 36543960668231. The reversal of 36543960668160 is 6186606934563.

36543960668160 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 3 + 9 + 606 + 6 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36543960668160² (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 23 ways as a sum of consecutive naturals, for example, 17010211 + ... + 19037730.

Almost surely, 2^{36543960668160} is an apocalyptic number.

36543960668160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36543960668160 is an abundant number, since it is smaller than the sum of its proper divisors (101624917182480).

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

36543960668160 is a wasteful number, since it uses less digits than its factorization.

36543960668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36047985 (or 36047962 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 36543960668160 in words is "thirty-six trillion, five hundred forty-three billion, nine hundred sixty million, six hundred sixty-eight thousand, one hundred sixty".