646570000 has 200 divisors, whose sum is σ = 1708328160. Its totient is φ = 236160000.

The previous prime is 646569977. The next prime is 646570003. The reversal of 646570000 is 75646.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (646570003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7789959 + ... + 7790041.

Almost surely, 2^646570000 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 646570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854164080).

646570000 is an abundant number, since it is smaller than the sum of its proper divisors (1061758160).

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

646570000 is a wasteful number, since it uses less digits than its factorization.

646570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 646570000 is about 25427.7407568978. The cubic root of 646570000 is about 864.7127249451.

The spelling of 646570000 in words is "six hundred forty-six million, five hundred seventy thousand".