642895632 has 120 divisors (see below), whose sum is σ = 1886040000. Its totient is φ = 204044544.

The previous prime is 642895607. The next prime is 642895651. The reversal of 642895632 is 236598246.

642895632 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 9 + 5 + 632 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1288119 + ... + 1288617.

It is an arithmetic number, because the mean of its divisors is an integer number (15717000).

Almost surely, 2^642895632 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 642895632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943020000).

642895632 is an abundant number, since it is smaller than the sum of its proper divisors (1243144368).

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

642895632 is a wasteful number, since it uses less digits than its factorization.

642895632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 642895632 is about 25355.3866466280. The cubic root of 642895632 is about 863.0715979173.

The spelling of 642895632 in words is "six hundred forty-two million, eight hundred ninety-five thousand, six hundred thirty-two".