642833856 has 336 divisors, whose sum is σ = 2248529920. Its totient is φ = 171694080.

The previous prime is 642833837. The next prime is 642833857. The reversal of 642833856 is 658338246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642833857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4624635 + ... + 4624773.

Almost surely, 2^642833856 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 642833856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124264960).

642833856 is an abundant number, since it is smaller than the sum of its proper divisors (1605696064).

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

642833856 is a wasteful number, since it uses less digits than its factorization.

642833856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 642833856 is about 25354.1684146808. The cubic root of 642833856 is about 863.0439527775.

The spelling of 642833856 in words is "six hundred forty-two million, eight hundred thirty-three thousand, eight hundred fifty-six".