642815502336 has 480 divisors, whose sum is σ = 2323483081920. Its totient is φ = 172852641792.

The previous prime is 642815502331. The next prime is 642815502379. The reversal of 642815502336 is 633205518246.

642815502336 is a `hidden beast` number, since 6 + 42 + 8 + 1 + 550 + 23 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642815502291 and 642815502300.

It is not an unprimeable number, because it can be changed into a prime (642815502331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19724391 + ... + 19756953.

It is an arithmetic number, because the mean of its divisors is an integer number (4840589754).

Almost surely, 2^642815502336 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 642815502336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161741540960).

642815502336 is an abundant number, since it is smaller than the sum of its proper divisors (1680667579584).

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

642815502336 is a wasteful number, since it uses less digits than its factorization.

642815502336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32621 (or 32592 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 642815502336 in words is "six hundred forty-two billion, eight hundred fifteen million, five hundred two thousand, three hundred thirty-six".