680093404416 has 144 divisors (see below), whose sum is σ = 2080506657600. Its totient is φ = 218880571392.

The previous prime is 680093404391. The next prime is 680093404453. The reversal of 680093404416 is 614404390086.

680093404416 is a `hidden beast` number, since 6 + 80 + 0 + 93 + 40 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 1495986 + ... + 1896881.

It is an arithmetic number, because the mean of its divisors is an integer number (14447962900).

Almost surely, 2^680093404416 is an apocalyptic number.

It is an amenable number.

680093404416 is an abundant number, since it is smaller than the sum of its proper divisors (1400413253184).

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

680093404416 is a wasteful number, since it uses less digits than its factorization.

680093404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392921 (or 3392901 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 680093404416 in words is "six hundred eighty billion, ninety-three million, four hundred four thousand, four hundred sixteen".