36643248864 has 144 divisors (see below), whose sum is σ = 104898764880. Its totient is φ = 12133324800.

The previous prime is 36643248853. The next prime is 36643248877. The reversal of 36643248864 is 46884234663.

36643248864 is a `hidden beast` number, since 3 + 66 + 43 + 2 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36643248864.

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, 46560279 + ... + 46561065.

It is an arithmetic number, because the mean of its divisors is an integer number (728463645).

Almost surely, 2^36643248864 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 36643248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52449382440).

36643248864 is an abundant number, since it is smaller than the sum of its proper divisors (68255516016).

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

36643248864 is a wasteful number, since it uses less digits than its factorization.

36643248864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 36643248864 in words is "thirty-six billion, six hundred forty-three million, two hundred forty-eight thousand, eight hundred sixty-four".