642516192 has 96 divisors (see below), whose sum is σ = 1890876960. Its totient is φ = 212244480.

The previous prime is 642516167. The next prime is 642516209. The reversal of 642516192 is 291615246.

642516192 is a `hidden beast` number, since 642 + 5 + 1 + 6 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94342 + ... + 100922.

It is an arithmetic number, because the mean of its divisors is an integer number (19696635).

Almost surely, 2^642516192 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 642516192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945438480).

642516192 is an abundant number, since it is smaller than the sum of its proper divisors (1248360768).

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

642516192 is a wasteful number, since it uses less digits than its factorization.

642516192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6699 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 642516192 is about 25347.9031085413. The cubic root of 642516192 is about 862.9017682075.

The spelling of 642516192 in words is "six hundred forty-two million, five hundred sixteen thousand, one hundred ninety-two".