642736000 has 192 divisors, whose sum is σ = 1709744400. Its totient is φ = 240230400.

The previous prime is 642735997. The next prime is 642736013. The reversal of 642736000 is 637246.

642736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 642736000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4623931 + ... + 4624069.

Almost surely, 2^642736000 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 642736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854872200).

642736000 is an abundant number, since it is smaller than the sum of its proper divisors (1067008400).

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

642736000 is a wasteful number, since it uses less digits than its factorization.

642736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 642736000 is about 25352.2385599379. The cubic root of 642736000 is about 863.0001579908. Note that the first 3 decimals are identical.

The spelling of 642736000 in words is "six hundred forty-two million, seven hundred thirty-six thousand".