676634666400 has 1728 divisors, whose sum is σ = 3267600860160. Its totient is φ = 132279091200.

The previous prime is 676634666381. The next prime is 676634666423. The reversal of 676634666400 is 4666436676.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 254468271 + ... + 254470929.

It is an arithmetic number, because the mean of its divisors is an integer number (1890972720).

Almost surely, 2^676634666400 is an apocalyptic number.

676634666400 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 676634666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633800430080).

676634666400 is an abundant number, since it is smaller than the sum of its proper divisors (2590966193760).

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

676634666400 is a wasteful number, since it uses less digits than its factorization.

676634666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 676634666400 in words is "six hundred seventy-six billion, six hundred thirty-four million, six hundred sixty-six thousand, four hundred".