640332000 has 864 divisors, whose sum is σ = 2980242720. Its totient is φ = 133056000.

The previous prime is 640331999. The next prime is 640332073. The reversal of 640332000 is 233046.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

640332000 is a `hidden beast` number, since 640 + 3 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58211995 + ... + 58212005.

It is an arithmetic number, because the mean of its divisors is an integer number (3449355).

Almost surely, 2^640332000 is an apocalyptic number.

640332000 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 640332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490121360).

640332000 is an abundant number, since it is smaller than the sum of its proper divisors (2339910720).

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

640332000 is a wasteful number, since it uses less digits than its factorization.

640332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 640332000 is about 25304.7821567387. The cubic root of 640332000 is about 861.9228653190.

Adding to 640332000 its reverse (233046), we get a palindrome (640565046).

The spelling of 640332000 in words is "six hundred forty million, three hundred thirty-two thousand".