642762240456 has 160 divisors (see below), whose sum is σ = 1920340951200. Its totient is φ = 179166516480.

The previous prime is 642762240433. The next prime is 642762240493. The reversal of 642762240456 is 654042267246.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2226555 + ... + 2498613.

It is an arithmetic number, because the mean of its divisors is an integer number (12002130945).

Almost surely, 2^642762240456 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 642762240456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960170475600).

642762240456 is an abundant number, since it is smaller than the sum of its proper divisors (1277578710744).

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

642762240456 is a wasteful number, since it uses less digits than its factorization.

642762240456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272137 (or 272112 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 642762240456 in words is "six hundred forty-two billion, seven hundred sixty-two million, two hundred forty thousand, four hundred fifty-six".