640282366616400 has 90 divisors (see below), whose sum is σ = 2221957668384350. Its totient is φ = 170741964430080.

The previous prime is 640282366616377. The next prime is 640282366616507. The reversal of 640282366616400 is 4616663282046.

It can be written as a sum of positive squares in 3 ways, for example, as 4717896773184 + 635564469843216 = 2172072^2 + 25210404^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88928102875 + ... + 88928110074.

Almost surely, 2^{640282366616400} is an apocalyptic number.

640282366616400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640282366616400 is an abundant number, since it is smaller than the sum of its proper divisors (1581675301767950).

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

640282366616400 is a wasteful number, since it uses less digits than its factorization.

640282366616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177856212973 (or 177856212959 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 640282366616400 in words is "six hundred forty trillion, two hundred eighty-two billion, three hundred sixty-six million, six hundred sixteen thousand, four hundred".