640682680320 has 672 divisors, whose sum is σ = 2344336525440. Its totient is φ = 167799029760.

The previous prime is 640682680303. The next prime is 640682680343. The reversal of 640682680320 is 23086286046.

640682680320 is a `hidden beast` number, since 6 + 4 + 0 + 68 + 268 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587242975 + ... + 587244065.

It is an arithmetic number, because the mean of its divisors is an integer number (3488596020).

Almost surely, 2^640682680320 is an apocalyptic number.

640682680320 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 640682680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172168262720).

640682680320 is an abundant number, since it is smaller than the sum of its proper divisors (1703653845120).

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

640682680320 is an equidigital number, since it uses as much as digits as its factorization.

640682680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 640682680320 in words is "six hundred forty billion, six hundred eighty-two million, six hundred eighty thousand, three hundred twenty".