676707557068800 has 1872 divisors, whose sum is σ = 2753274503528640. Its totient is φ = 163980792299520.

The previous prime is 676707557068769. The next prime is 676707557068813. The reversal of 676707557068800 is 8860755707676.

676707557068800 is a `hidden beast` number, since 6 + 7 + 6 + 7 + 0 + 7 + 557 + 0 + 68 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12267390019 + ... + 12267445181.

It is an arithmetic number, because the mean of its divisors is an integer number (1470766294620).

Almost surely, 2^{676707557068800} is an apocalyptic number.

676707557068800 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 676707557068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376637251764320).

676707557068800 is an abundant number, since it is smaller than the sum of its proper divisors (2076566946459840).

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

676707557068800 is a wasteful number, since it uses less digits than its factorization.

676707557068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55258 (or 55219 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 676707557068800 in words is "six hundred seventy-six trillion, seven hundred seven billion, five hundred fifty-seven million, sixty-eight thousand, eight hundred".