3664479522816 has 780 divisors, whose sum is σ = 12977421105132. Its totient is φ = 1026998009856.

The previous prime is 3664479522799. The next prime is 3664479522901. The reversal of 3664479522816 is 6182259744663.

3664479522816 is a `hidden beast` number, since 3 + 6 + 6 + 447 + 95 + 22 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1414767513600 + 2249712009216 = 1189440^2 + 1499904^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 861620146 + ... + 861624398.

Almost surely, 2^{3664479522816} is an apocalyptic number.

3664479522816 is a gapful number since it is divisible by the number (36) 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 3664479522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488710552566).

3664479522816 is an abundant number, since it is smaller than the sum of its proper divisors (9312941582316).

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

3664479522816 is an equidigital number, since it uses as much as digits as its factorization.

3664479522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4318 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 3664479522816 in words is "three trillion, six hundred sixty-four billion, four hundred seventy-nine million, five hundred twenty-two thousand, eight hundred sixteen".