642742708160 has 112 divisors (see below), whose sum is σ = 1755150054336. Its totient is φ = 219616591872.

The previous prime is 642742708121. The next prime is 642742708187. The reversal of 642742708160 is 61807247246.

642742708160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166664 + ... + 1145976.

It is an arithmetic number, because the mean of its divisors is an integer number (15670982628).

Almost surely, 2^642742708160 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 642742708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877575027168).

642742708160 is an abundant number, since it is smaller than the sum of its proper divisors (1112407346176).

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

642742708160 is a wasteful number, since it uses less digits than its factorization.

642742708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979630 (or 979620 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 642742708160 in words is "six hundred forty-two billion, seven hundred forty-two million, seven hundred eight thousand, one hundred sixty".