680099777280 has 1152 divisors, whose sum is σ = 3167526297600. Its totient is φ = 133871616000.

The previous prime is 680099777219. The next prime is 680099777317. The reversal of 680099777280 is 82777990086.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50554555 + ... + 50568005.

It is an arithmetic number, because the mean of its divisors is an integer number (2749588800).

Almost surely, 2^680099777280 is an apocalyptic number.

680099777280 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 680099777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583763148800).

680099777280 is an abundant number, since it is smaller than the sum of its proper divisors (2487426520320).

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

680099777280 is a wasteful number, since it uses less digits than its factorization.

680099777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13518 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 680099777280 in words is "six hundred eighty billion, ninety-nine million, seven hundred seventy-seven thousand, two hundred eighty".