676509696000 has 1080 divisors, whose sum is σ = 2611277200896. Its totient is φ = 168453734400.

The previous prime is 676509695999. The next prime is 676509696029. The reversal of 676509696000 is 696905676.

676509696000 is a `hidden beast` number, since 6 + 76 + 509 + 6 + 9 + 60 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5326847937 + ... + 5326848063.

Almost surely, 2^676509696000 is an apocalyptic number.

676509696000 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 676509696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305638600448).

676509696000 is an abundant number, since it is smaller than the sum of its proper divisors (1934767504896).

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

676509696000 is a wasteful number, since it uses less digits than its factorization.

676509696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 676509696000 in words is "six hundred seventy-six billion, five hundred nine million, six hundred ninety-six thousand".