642532410 has 144 divisors (see below), whose sum is σ = 1866120984. Its totient is φ = 152474112.

The previous prime is 642532399. The next prime is 642532427. The reversal of 642532410 is 14235246.

642532410 is a `hidden beast` number, since 642 + 5 + 3 + 2 + 4 + 10 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 62001 + 642470409 = 249^2 + 25347^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 983644 + ... + 984296.

Almost surely, 2^642532410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642532410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933060492).

642532410 is an abundant number, since it is smaller than the sum of its proper divisors (1223588574).

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

642532410 is a wasteful number, since it uses less digits than its factorization.

642532410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642532410 is about 25348.2230146415. The cubic root of 642532410 is about 862.9090284257.

Adding to 642532410 its reverse (14235246), we get a palindrome (656767656).

The spelling of 642532410 in words is "six hundred forty-two million, five hundred thirty-two thousand, four hundred ten".