680463728640 has 512 divisors, whose sum is σ = 2444948323200. Its totient is φ = 179542425600.

The previous prime is 680463728639. The next prime is 680463728671. The reversal of 680463728640 is 46827364086.

680463728640 is a `hidden beast` number, since 68 + 0 + 463 + 7 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446790919 + ... + 446792441.

Almost surely, 2^680463728640 is an apocalyptic number.

680463728640 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 680463728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222474161600).

680463728640 is an abundant number, since it is smaller than the sum of its proper divisors (1764484594560).

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

680463728640 is a wasteful number, since it uses less digits than its factorization.

680463728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 680463728640 in words is "six hundred eighty billion, four hundred sixty-three million, seven hundred twenty-eight thousand, six hundred forty".