642777852640 has 576 divisors, whose sum is σ = 2106408665088. Its totient is φ = 182465740800.

The previous prime is 642777852637. The next prime is 642777852677. The reversal of 642777852640 is 46258777246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45441409 + ... + 45455551.

It is an arithmetic number, because the mean of its divisors is an integer number (3656959488).

Almost surely, 2^642777852640 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 642777852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053204332544).

642777852640 is an abundant number, since it is smaller than the sum of its proper divisors (1463630812448).

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

642777852640 is a wasteful number, since it uses less digits than its factorization.

642777852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14231 (or 14216 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 58.

The spelling of 642777852640 in words is "six hundred forty-two billion, seven hundred seventy-seven million, eight hundred fifty-two thousand, six hundred forty".