36133487604864 has 384 divisors, whose sum is σ = 113179688294400. Its totient is φ = 10999000793088.

The previous prime is 36133487604817. The next prime is 36133487604883. The reversal of 36133487604864 is 46840678433163.

36133487604864 is a `hidden beast` number, since 3 + 6 + 1 + 33 + 487 + 60 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671362147 + ... + 671415965.

It is an arithmetic number, because the mean of its divisors is an integer number (294738771600).

Almost surely, 2^{36133487604864} 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 36133487604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56589844147200).

36133487604864 is an abundant number, since it is smaller than the sum of its proper divisors (77046200689536).

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

36133487604864 is a wasteful number, since it uses less digits than its factorization.

36133487604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54332 (or 54317 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 36133487604864 in words is "thirty-six trillion, one hundred thirty-three billion, four hundred eighty-seven million, six hundred four thousand, eight hundred sixty-four".