676410341967360 has 4800 divisors, whose sum is σ = 3362146360860672. Its totient is φ = 125518823424000.

The previous prime is 676410341967331. The next prime is 676410341967433. The reversal of 676410341967360 is 63769143014676.

676410341967360 is a `hidden beast` number, since 6 + 7 + 6 + 410 + 3 + 4 + 1 + 96 + 73 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 199472231265 + ... + 199472234655.

Almost surely, 2^{676410341967360} is an apocalyptic number.

676410341967360 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 676410341967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681073180430336).

676410341967360 is an abundant number, since it is smaller than the sum of its proper divisors (2685736018893312).

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

676410341967360 is a wasteful number, since it uses less digits than its factorization.

676410341967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 676410341967360 in words is "six hundred seventy-six trillion, four hundred ten billion, three hundred forty-one million, nine hundred sixty-seven thousand, three hundred sixty".