36643046058432 has 1176 divisors, whose sum is σ = 127969954180992. Its totient is φ = 10372588047360.

The previous prime is 36643046058403. The next prime is 36643046058461. The reversal of 36643046058432 is 23485064034663.

36643046058432 is a `hidden beast` number, since 3 + 6 + 64 + 30 + 460 + 58 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36643046058403) and next prime (36643046058461).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5583273583 + ... + 5583280145.

Almost surely, 2^{36643046058432} is an apocalyptic number.

36643046058432 is a gapful number since it is divisible by the number (32) 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 36643046058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63984977090496).

36643046058432 is an abundant number, since it is smaller than the sum of its proper divisors (91326908122560).

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

36643046058432 is a wasteful number, since it uses less digits than its factorization.

36643046058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 36643046058432 in words is "thirty-six trillion, six hundred forty-three billion, forty-six million, fifty-eight thousand, four hundred thirty-two".