642517605528 has 64 divisors (see below), whose sum is σ = 1650045893760. Its totient is φ = 208377716736.

The previous prime is 642517605523. The next prime is 642517605581. The reversal of 642517605528 is 825506715246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642517605523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946050 + ... + 1476497.

It is an arithmetic number, because the mean of its divisors is an integer number (25781967090).

Almost surely, 2^642517605528 is an apocalyptic number.

It is an amenable number.

642517605528 is an abundant number, since it is smaller than the sum of its proper divisors (1007528288232).

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

642517605528 is a wasteful number, since it uses less digits than its factorization.

642517605528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422856 (or 2422852 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 642517605528 in words is "six hundred forty-two billion, five hundred seventeen million, six hundred five thousand, five hundred twenty-eight".