640593360 has 600 divisors, whose sum is σ = 2634102240. Its totient is φ = 143700480.

The previous prime is 640593347. The next prime is 640593361. The reversal of 640593360 is 63395046.

640593360 is a `hidden beast` number, since 6 + 4 + 0 + 593 + 3 + 60 = 666.

640593360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640593361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14897499 + ... + 14897541.

Almost surely, 2^640593360 is an apocalyptic number.

640593360 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 640593360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317051120).

640593360 is an abundant number, since it is smaller than the sum of its proper divisors (1993508880).

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

640593360 is a wasteful number, since it uses less digits than its factorization.

640593360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 640593360 is about 25309.9458711393. The cubic root of 640593360 is about 862.0401177848.

The spelling of 640593360 in words is "six hundred forty million, five hundred ninety-three thousand, three hundred sixty".