640707000 has 128 divisors (see below), whose sum is σ = 2048155200. Its totient is φ = 166656000.

The previous prime is 640706981. The next prime is 640707007. The reversal of 640707000 is 707046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640707007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120396 + ... + 125604.

Almost surely, 2^640707000 is an apocalyptic number.

640707000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640707000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024077600).

640707000 is an abundant number, since it is smaller than the sum of its proper divisors (1407448200).

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

640707000 is a wasteful number, since it uses less digits than its factorization.

640707000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 640707000 is about 25312.1907388515. The cubic root of 640707000 is about 862.0910895104.

The spelling of 640707000 in words is "six hundred forty million, seven hundred seven thousand".