642510836352 has 864 divisors, whose sum is σ = 2488975725600. Its totient is φ = 158070528000.

The previous prime is 642510836299. The next prime is 642510836353. The reversal of 642510836352 is 253638015246.

642510836352 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 1 + 0 + 8 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642510836298 and 642510836307.

It is not an unprimeable number, because it can be changed into a prime (642510836353) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 129771477 + ... + 129776427.

Almost surely, 2^642510836352 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 642510836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244487862800).

642510836352 is an abundant number, since it is smaller than the sum of its proper divisors (1846464889248).

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

642510836352 is a wasteful number, since it uses less digits than its factorization.

642510836352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 4993 counting only the distinct ones).

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

The spelling of 642510836352 in words is "six hundred forty-two billion, five hundred ten million, eight hundred thirty-six thousand, three hundred fifty-two".