642120192 has 240 divisors, whose sum is σ = 2244445632. Its totient is φ = 172523520.

The previous prime is 642120151. The next prime is 642120223. The reversal of 642120192 is 291021246.

642120192 is a `hidden beast` number, since 642 + 1 + 2 + 0 + 19 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547767 + ... + 548937.

Almost surely, 2^642120192 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 642120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122222816).

642120192 is an abundant number, since it is smaller than the sum of its proper divisors (1602325440).

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

642120192 is a wasteful number, since it uses less digits than its factorization.

642120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 642120192 is about 25340.0906075728. The cubic root of 642120192 is about 862.7244552567.

The spelling of 642120192 in words is "six hundred forty-two million, one hundred twenty thousand, one hundred ninety-two".