642022920 has 768 divisors, whose sum is σ = 2911334400. Its totient is φ = 118609920.

The previous prime is 642022919. The next prime is 642022991. The reversal of 642022920 is 29220246.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12113614 + ... + 12113666.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^642022920 is an apocalyptic number.

642022920 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 642022920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455667200).

642022920 is an abundant number, since it is smaller than the sum of its proper divisors (2269311480).

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

642022920 is a wasteful number, since it uses less digits than its factorization.

642022920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 642022920 is about 25338.1712047259. The cubic root of 642022920 is about 862.6808895961.

The spelling of 642022920 in words is "six hundred forty-two million, twenty-two thousand, nine hundred twenty".