356868800064 has 252 divisors, whose sum is σ = 1192335690000. Its totient is φ = 101754164736.

The previous prime is 356868800053. The next prime is 356868800077. The reversal of 356868800064 is 460008868653.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14071107 + ... + 14096445.

Almost surely, 2^356868800064 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 356868800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596167845000).

356868800064 is an abundant number, since it is smaller than the sum of its proper divisors (835466889936).

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

356868800064 is a wasteful number, since it uses less digits than its factorization.

356868800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25870 (or 25850 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 356868800064 in words is "three hundred fifty-six billion, eight hundred sixty-eight million, eight hundred thousand, sixty-four".