642007931136 has 288 divisors, whose sum is σ = 2011255185408. Its totient is φ = 179237560320.

The previous prime is 642007931083. The next prime is 642007931143. The reversal of 642007931136 is 631139700246.

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, 60068385 + ... + 60079071.

Almost surely, 2^642007931136 is an apocalyptic number.

642007931136 is a gapful number since it is divisible by the number (66) 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 642007931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005627592704).

642007931136 is an abundant number, since it is smaller than the sum of its proper divisors (1369247254272).

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

642007931136 is a wasteful number, since it uses less digits than its factorization.

642007931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 642007931136 in words is "six hundred forty-two billion, seven million, nine hundred thirty-one thousand, one hundred thirty-six".