640403755200 has 2352 divisors, whose sum is σ = 2825614506240. Its totient is φ = 141087744000.

The previous prime is 640403755177. The next prime is 640403755273. The reversal of 640403755200 is 2557304046.

640403755200 is a `hidden beast` number, since 6 + 40 + 40 + 375 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9019771165 + ... + 9019771235.

Almost surely, 2^640403755200 is an apocalyptic number.

640403755200 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 640403755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412807253120).

640403755200 is an abundant number, since it is smaller than the sum of its proper divisors (2185210751040).

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

640403755200 is a wasteful number, since it uses less digits than its factorization.

640403755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 640403755200 in words is "six hundred forty billion, four hundred three million, seven hundred fifty-five thousand, two hundred".