676724323968 has 864 divisors, whose sum is σ = 2523005765280. Its totient is φ = 170332968960.

The previous prime is 676724323967. The next prime is 676724323969. The reversal of 676724323968 is 869323427676.

676724323968 is a `hidden beast` number, since 6 + 76 + 72 + 432 + 3 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (676724323967) and next prime (676724323969).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676724323967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5328537921 + ... + 5328538047.

Almost surely, 2^676724323968 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 676724323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261502882640).

676724323968 is an abundant number, since it is smaller than the sum of its proper divisors (1846281441312).

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

676724323968 is a wasteful number, since it uses less digits than its factorization.

676724323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 193 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 676724323968 in words is "six hundred seventy-six billion, seven hundred twenty-four million, three hundred twenty-three thousand, nine hundred sixty-eight".