676837008000 has 384 divisors, whose sum is σ = 2536385529600. Its totient is φ = 172641638400.

The previous prime is 676837007993. The next prime is 676837008011. The reversal of 676837008000 is 800738676.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209821 + ... + 3414179.

It is an arithmetic number, because the mean of its divisors is an integer number (6605170650).

Almost surely, 2^676837008000 is an apocalyptic number.

676837008000 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 676837008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268192764800).

676837008000 is an abundant number, since it is smaller than the sum of its proper divisors (1859548521600).

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

676837008000 is a wasteful number, since it uses less digits than its factorization.

676837008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204417 (or 204392 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 676837008000 in words is "six hundred seventy-six billion, eight hundred thirty-seven million, eight thousand".