640714557712000 has 128 divisors (see below), whose sum is σ = 1593153669790800. Its totient is φ = 256257330278400.

The previous prime is 640714557711941. The next prime is 640714557712027. The reversal of 640714557712000 is 217755417046.

It can be written as a sum of positive squares in 8 ways, for example, as 7057183519296 + 633657374192704 = 2656536^2 + 25172552^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141986506 + ... + 146429494.

Almost surely, 2^{640714557712000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640714557712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796576834895400).

640714557712000 is an abundant number, since it is smaller than the sum of its proper divisors (952439112078800).

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

640714557712000 is an equidigital number, since it uses as much as digits as its factorization.

640714557712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452031 (or 4452009 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 640714557712000 in words is "six hundred forty trillion, seven hundred fourteen billion, five hundred fifty-seven million, seven hundred twelve thousand".