390329582321664 has 192 divisors, whose sum is σ = 1186949056277400. Its totient is φ = 123261971595264.

The previous prime is 390329582321501. The next prime is 390329582321669. The reversal of 390329582321664 is 466123285923093.

It is a happy number.

390329582321664 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 2 + 9 + 582 + 32 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390329582321669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29226829 + ... + 40433484.

Almost surely, 2^{390329582321664} is an apocalyptic number.

It is an amenable number.

390329582321664 is an abundant number, since it is smaller than the sum of its proper divisors (796619473955736).

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

390329582321664 is an equidigital number, since it uses as much as digits as its factorization.

390329582321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69660368 (or 69660337 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 390329582321664 in words is "three hundred ninety trillion, three hundred twenty-nine billion, five hundred eighty-two million, three hundred twenty-one thousand, six hundred sixty-four".