680776738814016 has 1344 divisors, whose sum is σ = 2293835667701760. Its totient is φ = 196715401666560.

The previous prime is 680776738813981. The next prime is 680776738814017. The reversal of 680776738814016 is 610418837677086.

680776738814016 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 76 + 73 + 8 + 81 + 401 + 6 = 666.

It is a super-2 number, since 2×680776738814016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (680776738814017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148285063881 + ... + 148285068471.

It is an arithmetic number, because the mean of its divisors is an integer number (1706722967040).

Almost surely, 2^{680776738814016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680776738814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146917833850880).

680776738814016 is an abundant number, since it is smaller than the sum of its proper divisors (1613058928887744).

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

680776738814016 is a wasteful number, since it uses less digits than its factorization.

680776738814016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 680776738814016 in words is "six hundred eighty trillion, seven hundred seventy-six billion, seven hundred thirty-eight million, eight hundred fourteen thousand, sixteen".