640512000 has 312 divisors, whose sum is σ = 2325588720. Its totient is φ = 169574400.

The previous prime is 640511999. The next prime is 640512007. The reversal of 640512000 is 215046.

It is a happy number.

640512000 is a `hidden beast` number, since 640 + 5 + 1 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640512007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607931 + ... + 4608069.

It is an arithmetic number, because the mean of its divisors is an integer number (7453810).

Almost surely, 2^640512000 is an apocalyptic number.

640512000 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 640512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162794360).

640512000 is an abundant number, since it is smaller than the sum of its proper divisors (1685076720).

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

640512000 is a wasteful number, since it uses less digits than its factorization.

640512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 640512000 is about 25308.3385468110. The cubic root of 640512000 is about 862.0036211252.

Adding to 640512000 its reverse (215046), we get a palindrome (640727046).

The spelling of 640512000 in words is "six hundred forty million, five hundred twelve thousand".