642901376 has 64 divisors (see below), whose sum is σ = 1460501280. Its totient is φ = 279257088.

The previous prime is 642901373. The next prime is 642901397. The reversal of 642901376 is 673109246.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×642901376³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642901373) 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, 16925 + ... + 39651.

Almost surely, 2^642901376 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 642901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730250640).

642901376 is an abundant number, since it is smaller than the sum of its proper divisors (817599904).

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

642901376 is a wasteful number, since it uses less digits than its factorization.

642901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22771 (or 22759 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 642901376 is about 25355.4999161918. The cubic root of 642901376 is about 863.0741683026.

The spelling of 642901376 in words is "six hundred forty-two million, nine hundred one thousand, three hundred seventy-six".