676693785600 has 2112 divisors, whose sum is σ = 3172646937600. Its totient is φ = 137594142720.

The previous prime is 676693785587. The next prime is 676693785611. The reversal of 676693785600 is 6587396676.

676693785600 is a `hidden beast` number, since 6 + 7 + 6 + 69 + 3 + 7 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1562802984 + ... + 1562803416.

Almost surely, 2^676693785600 is an apocalyptic number.

676693785600 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 676693785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586323468800).

676693785600 is an abundant number, since it is smaller than the sum of its proper divisors (2495953152000).

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

676693785600 is a wasteful number, since it uses less digits than its factorization.

676693785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 676693785600 in words is "six hundred seventy-six billion, six hundred ninety-three million, seven hundred eighty-five thousand, six hundred".