329742013761800 has 96 divisors (see below), whose sum is σ = 767405580165000. Its totient is φ = 131766905794560.

The previous prime is 329742013761761. The next prime is 329742013761827. The reversal of 329742013761800 is 8167310247923.

It can be written as a sum of positive squares in 12 ways, for example, as 53053188872644 + 276688824889156 = 7283762^2 + 16633966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870694886 + ... + 871073514.

Almost surely, 2^{329742013761800} is an apocalyptic number.

It is an amenable number.

329742013761800 is an abundant number, since it is smaller than the sum of its proper divisors (437663566403200).

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

329742013761800 is a wasteful number, since it uses less digits than its factorization.

329742013761800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382923 (or 382914 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 329742013761800 in words is "three hundred twenty-nine trillion, seven hundred forty-two billion, thirteen million, seven hundred sixty-one thousand, eight hundred".