642088594944 has 320 divisors, whose sum is σ = 2024832902400. Its totient is φ = 200315068416.

The previous prime is 642088594891. The next prime is 642088594969. The reversal of 642088594944 is 449495880246.

642088594944 is a `hidden beast` number, since 6 + 420 + 8 + 85 + 94 + 9 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21785722 + ... + 21815174.

It is an arithmetic number, because the mean of its divisors is an integer number (6327602820).

Almost surely, 2^642088594944 is an apocalyptic number.

642088594944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642088594944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012416451200).

642088594944 is an abundant number, since it is smaller than the sum of its proper divisors (1382744307456).

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

642088594944 is a wasteful number, since it uses less digits than its factorization.

642088594944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29582 (or 29560 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 642088594944 in words is "six hundred forty-two billion, eighty-eight million, five hundred ninety-four thousand, nine hundred forty-four".