676895461632 has 1728 divisors, whose sum is σ = 2524178442240. Its totient is φ = 171992678400.

The previous prime is 676895461631. The next prime is 676895461637. The reversal of 676895461632 is 236164598676.

676895461632 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 9 + 5 + 4 + 616 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 676895461632.

It is not an unprimeable number, because it can be changed into a prime (676895461631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11096646882 + ... + 11096646942.

Almost surely, 2^676895461632 is an apocalyptic number.

676895461632 is a gapful number since it is divisible by the number (62) 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 676895461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262089221120).

676895461632 is an abundant number, since it is smaller than the sum of its proper divisors (1847282980608).

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

676895461632 is a wasteful number, since it uses less digits than its factorization.

676895461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 676895461632 in words is "six hundred seventy-six billion, eight hundred ninety-five million, four hundred sixty-one thousand, six hundred thirty-two".