642691305800 has 96 divisors (see below), whose sum is σ = 1573167540000. Its totient is φ = 243505128960.

The previous prime is 642691305799. The next prime is 642691305821. The reversal of 642691305800 is 8503196246.

It is a super-3 number, since 3×642691305800³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 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, 31982156 + ... + 32002244.

It is an arithmetic number, because the mean of its divisors is an integer number (16387161875).

Almost surely, 2^642691305800 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 642691305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786583770000).

642691305800 is an abundant number, since it is smaller than the sum of its proper divisors (930476234200).

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

642691305800 is a wasteful number, since it uses less digits than its factorization.

642691305800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28543 (or 28534 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 642691305800 in words is "six hundred forty-two billion, six hundred ninety-one million, three hundred five thousand, eight hundred".