642624360456 has 192 divisors, whose sum is σ = 1841040391680. Its totient is φ = 185781657600.

The previous prime is 642624360419. The next prime is 642624360461. The reversal of 642624360456 is 654063426246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55627881 + ... + 55639431.

It is an arithmetic number, because the mean of its divisors is an integer number (9588752040).

Almost surely, 2^642624360456 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 642624360456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920520195840).

642624360456 is an abundant number, since it is smaller than the sum of its proper divisors (1198416031224).

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

642624360456 is a wasteful number, since it uses less digits than its factorization.

642624360456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 642624360456 in words is "six hundred forty-two billion, six hundred twenty-four million, three hundred sixty thousand, four hundred fifty-six".