676959806880 has 480 divisors, whose sum is σ = 2874117375360. Its totient is φ = 146589419520.

The previous prime is 676959806867. The next prime is 676959806903. The reversal of 676959806880 is 88608959676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 676959806799 and 676959806808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1527310 + ... + 1920050.

It is an arithmetic number, because the mean of its divisors is an integer number (5987744532).

Almost surely, 2^676959806880 is an apocalyptic number.

676959806880 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 676959806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437058687680).

676959806880 is an abundant number, since it is smaller than the sum of its proper divisors (2197157568480).

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

676959806880 is a wasteful number, since it uses less digits than its factorization.

676959806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392794 (or 392777 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 676959806880 in words is "six hundred seventy-six billion, nine hundred fifty-nine million, eight hundred six thousand, eight hundred eighty".