642652032 has 128 divisors (see below), whose sum is σ = 1871838720. Its totient is φ = 193740800.

The previous prime is 642651983. The next prime is 642652051. The reversal of 642652032 is 230256246.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1490857 + ... + 1491287.

It is an arithmetic number, because the mean of its divisors is an integer number (14623740).

Almost surely, 2^642652032 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 642652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935919360).

642652032 is an abundant number, since it is smaller than the sum of its proper divisors (1229186688).

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

642652032 is a wasteful number, since it uses less digits than its factorization.

642652032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 642652032 is about 25350.5824785152. The cubic root of 642652032 is about 862.9625751402.

The spelling of 642652032 in words is "six hundred forty-two million, six hundred fifty-two thousand, thirty-two".