645752000 has 112 divisors (see below), whose sum is σ = 1630448352. Its totient is φ = 253260800.

The previous prime is 645751969. The next prime is 645752017. The reversal of 645752000 is 257546.

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, 423239 + ... + 424761.

Almost surely, 2^645752000 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 645752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815224176).

645752000 is an abundant number, since it is smaller than the sum of its proper divisors (984696352).

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

645752000 is a wasteful number, since it uses less digits than its factorization.

645752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 645752000 is about 25411.6508712047. The cubic root of 645752000 is about 864.3479108694.

The spelling of 645752000 in words is "six hundred forty-five million, seven hundred fifty-two thousand".