642896760 has 128 divisors (see below), whose sum is σ = 2112687360. Its totient is φ = 155212800.

The previous prime is 642896743. The next prime is 642896773. The reversal of 642896760 is 67698246.

642896760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372700 + ... + 374420.

It is an arithmetic number, because the mean of its divisors is an integer number (16505370).

Almost surely, 2^642896760 is an apocalyptic number.

642896760 is a gapful number since it is divisible by the number (60) 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 642896760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056343680).

642896760 is an abundant number, since it is smaller than the sum of its proper divisors (1469790600).

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

642896760 is a wasteful number, since it uses less digits than its factorization.

642896760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 642896760 is about 25355.4088904123. The cubic root of 642896760 is about 863.0721026877.

The spelling of 642896760 in words is "six hundred forty-two million, eight hundred ninety-six thousand, seven hundred sixty".