3640668596820 has 96 divisors (see below), whose sum is σ = 11327401680000. Its totient is φ = 970769774592.

The previous prime is 3640668596819. The next prime is 3640668596821. The reversal of 3640668596820 is 286958660463.

3640668596820 is a `hidden beast` number, since 3 + 6 + 406 + 68 + 5 + 96 + 82 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3640668596819) and next prime (3640668596821).

It is a super-2 number, since 2×3640668596820² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640668596821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6900027 + ... + 7408893.

It is an arithmetic number, because the mean of its divisors is an integer number (117993767500).

Almost surely, 2^{3640668596820} is an apocalyptic number.

3640668596820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3640668596820 is an abundant number, since it is smaller than the sum of its proper divisors (7686733083180).

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

3640668596820 is a wasteful number, since it uses less digits than its factorization.

3640668596820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522134 (or 522126 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3640668596820 in words is "three trillion, six hundred forty billion, six hundred sixty-eight million, five hundred ninety-six thousand, eight hundred twenty".