642733056 has 352 divisors, whose sum is σ = 2255957760. Its totient is φ = 179159040.

The previous prime is 642732983. The next prime is 642733111. The reversal of 642733056 is 650337246.

642733056 is a `hidden beast` number, since 642 + 7 + 3 + 3 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 642733056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676396 + ... + 15676436.

Almost surely, 2^642733056 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 642733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127978880).

642733056 is an abundant number, since it is smaller than the sum of its proper divisors (1613224704).

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

642733056 is an frugal number, since it uses more digits than its factorization.

642733056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 642733056 is about 25352.1804979375. The cubic root of 642733056 is about 862.9988403548.

The spelling of 642733056 in words is "six hundred forty-two million, seven hundred thirty-three thousand, fifty-six".