642271764400 has 120 divisors (see below), whose sum is σ = 1764330405984. Its totient is φ = 220103116800.

The previous prime is 642271764373. The next prime is 642271764437. The reversal of 642271764400 is 4467172246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5975130 + ... + 6081670.

Almost surely, 2^642271764400 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 642271764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882165202992).

642271764400 is an abundant number, since it is smaller than the sum of its proper divisors (1122058641584).

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

642271764400 is a wasteful number, since it uses less digits than its factorization.

642271764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108719 (or 108708 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 642271764400 in words is "six hundred forty-two billion, two hundred seventy-one million, seven hundred sixty-four thousand, four hundred".