676361854490400 has 2304 divisors, whose sum is σ = 2911001683968000. Its totient is φ = 150049279180800.

The previous prime is 676361854490323. The next prime is 676361854490449. The reversal of 676361854490400 is 4094458163676.

676361854490400 is a `hidden beast` number, since 6 + 7 + 6 + 3 + 6 + 185 + 4 + 49 + 0 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9758046144 + ... + 9758115456.

It is an arithmetic number, because the mean of its divisors is an integer number (1263455592000).

Almost surely, 2^{676361854490400} is an apocalyptic number.

676361854490400 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 676361854490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455500841984000).

676361854490400 is an abundant number, since it is smaller than the sum of its proper divisors (2234639829477600).

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

676361854490400 is a wasteful number, since it uses less digits than its factorization.

676361854490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69464 (or 69445 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 676361854490400 in words is "six hundred seventy-six trillion, three hundred sixty-one billion, eight hundred fifty-four million, four hundred ninety thousand, four hundred".