645756000 has 96 divisors (see below), whose sum is σ = 2115535968. Its totient is φ = 172198400.

The previous prime is 645755993. The next prime is 645756031. The reversal of 645756000 is 657546.

645756000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14907 + ... + 38906.

It is an arithmetic number, because the mean of its divisors is an integer number (22036833).

Almost surely, 2^645756000 is an apocalyptic number.

645756000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645756000 is an abundant number, since it is smaller than the sum of its proper divisors (1469779968).

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

645756000 is a wasteful number, since it uses less digits than its factorization.

645756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53841 (or 53823 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 645756000 is about 25411.7295751391. The cubic root of 645756000 is about 864.3496955507.

The spelling of 645756000 in words is "six hundred forty-five million, seven hundred fifty-six thousand".