642133504 has 80 divisors (see below), whose sum is σ = 1382768640. Its totient is φ = 297031680.

The previous prime is 642133493. The next prime is 642133507. The reversal of 642133504 is 405331246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642133507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364177 + ... + 365935.

It is an arithmetic number, because the mean of its divisors is an integer number (17284608).

Almost surely, 2^642133504 is an apocalyptic number.

642133504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691384320).

642133504 is an abundant number, since it is smaller than the sum of its proper divisors (740635136).

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

642133504 is a wasteful number, since it uses less digits than its factorization.

642133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 642133504 is about 25340.3532729913. The cubic root of 642133504 is about 862.7304170215.

The spelling of 642133504 in words is "six hundred forty-two million, one hundred thirty-three thousand, five hundred four".