676340711424 has 720 divisors, whose sum is σ = 2407792558080. Its totient is φ = 178681282560.

The previous prime is 676340711411. The next prime is 676340711437. The reversal of 676340711424 is 424117043676.

676340711424 is a `hidden beast` number, since 6 + 7 + 634 + 0 + 7 + 1 + 1 + 4 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (676340711411) and next prime (676340711437).

It is a self number, because there is not a number n which added to its sum of digits gives 676340711424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735952437 + ... + 735953355.

Almost surely, 2^676340711424 is an apocalyptic number.

676340711424 is a gapful number since it is divisible by the number (64) 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 676340711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203896279040).

676340711424 is an abundant number, since it is smaller than the sum of its proper divisors (1731451846656).

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

676340711424 is a wasteful number, since it uses less digits than its factorization.

676340711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 676340711424 in words is "six hundred seventy-six billion, three hundred forty million, seven hundred eleven thousand, four hundred twenty-four".