642222560 has 192 divisors, whose sum is σ = 1834140672. Its totient is φ = 207753216.

The previous prime is 642222541. The next prime is 642222577. The reversal of 642222560 is 65222246.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2756204 + ... + 2756436.

It is an arithmetic number, because the mean of its divisors is an integer number (9552816).

Almost surely, 2^642222560 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 642222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917070336).

642222560 is an abundant number, since it is smaller than the sum of its proper divisors (1191918112).

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

642222560 is a wasteful number, since it uses less digits than its factorization.

642222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 642222560 is about 25342.1104093562. The cubic root of 642222560 is about 862.7702985352.

It can be divided in two parts, 6422 and 22560, that added together give a palindrome (28982).

The spelling of 642222560 in words is "six hundred forty-two million, two hundred twenty-two thousand, five hundred sixty".