642255976320 has 256 divisors, whose sum is σ = 2415120814080. Its totient is φ = 142065745920.

The previous prime is 642255976259. The next prime is 642255976399. The reversal of 642255976320 is 23679552246.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 354117 + ... + 1187396.

It is an arithmetic number, because the mean of its divisors is an integer number (9434065680).

Almost surely, 2^642255976320 is an apocalyptic number.

642255976320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642255976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207560407040).

642255976320 is an abundant number, since it is smaller than the sum of its proper divisors (1772864837760).

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

642255976320 is a wasteful number, since it uses less digits than its factorization.

642255976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541573 (or 1541561 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 642255976320 in words is "six hundred forty-two billion, two hundred fifty-five million, nine hundred seventy-six thousand, three hundred twenty".