642431652632 has 512 divisors, whose sum is σ = 1663715635200. Its totient is φ = 225189888000.

The previous prime is 642431652547. The next prime is 642431652673. The reversal of 642431652632 is 236256134246.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4689282068 + ... + 4689282204.

It is an arithmetic number, because the mean of its divisors is an integer number (3249444600).

Almost surely, 2^642431652632 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 642431652632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831857817600).

642431652632 is an abundant number, since it is smaller than the sum of its proper divisors (1021283982568).

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

642431652632 is a wasteful number, since it uses less digits than its factorization.

642431652632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

Adding to 642431652632 its reverse (236256134246), we get a palindrome (878687786878).

The spelling of 642431652632 in words is "six hundred forty-two billion, four hundred thirty-one million, six hundred fifty-two thousand, six hundred thirty-two".