676510716960 has 672 divisors, whose sum is σ = 2619528569280. Its totient is φ = 164015622144.

The previous prime is 676510716911. The next prime is 676510716961. The reversal of 676510716960 is 69617015676.

676510716960 is a `hidden beast` number, since 6 + 7 + 6 + 510 + 7 + 1 + 69 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 676510716897 and 676510716906.

It is not an unprimeable number, because it can be changed into a prime (676510716961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101590111 + ... + 101596769.

It is an arithmetic number, because the mean of its divisors is an integer number (3898107990).

Almost surely, 2^676510716960 is an apocalyptic number.

676510716960 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 676510716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309764284640).

676510716960 is an abundant number, since it is smaller than the sum of its proper divisors (1943017852320).

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

676510716960 is a wasteful number, since it uses less digits than its factorization.

676510716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 676510716960 in words is "six hundred seventy-six billion, five hundred ten million, seven hundred sixteen thousand, nine hundred sixty".