36201660624 has 120 divisors (see below), whose sum is σ = 106056497664. Its totient is φ = 11513376000.

The previous prime is 36201660617. The next prime is 36201660629. The reversal of 36201660624 is 42606610263.

36201660624 is a `hidden beast` number, since 3 + 6 + 20 + 1 + 6 + 6 + 0 + 624 = 666.

It is a super-3 number, since 3×36201660624³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36201660629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259834 + ... + 374054.

Almost surely, 2^36201660624 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 36201660624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53028248832).

36201660624 is an abundant number, since it is smaller than the sum of its proper divisors (69854837040).

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

36201660624 is a wasteful number, since it uses less digits than its factorization.

36201660624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114337 (or 114328 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 36201660624 in words is "thirty-six billion, two hundred one million, six hundred sixty thousand, six hundred twenty-four".