640159200 has 432 divisors, whose sum is σ = 2431250640. Its totient is φ = 164229120.

The previous prime is 640159147. The next prime is 640159213. The reversal of 640159200 is 2951046.

640159200 is a `hidden beast` number, since 6 + 401 + 59 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7192756 + ... + 7192844.

It is an arithmetic number, because the mean of its divisors is an integer number (5627895).

Almost surely, 2^640159200 is an apocalyptic number.

640159200 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 640159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215625320).

640159200 is an abundant number, since it is smaller than the sum of its proper divisors (1791091440).

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

640159200 is a wasteful number, since it uses less digits than its factorization.

640159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 640159200 is about 25301.3675519724. The cubic root of 640159200 is about 861.8453255059.

The spelling of 640159200 in words is "six hundred forty million, one hundred fifty-nine thousand, two hundred".