676768780800 has 960 divisors, whose sum is σ = 2962613237760. Its totient is φ = 147952189440.

The previous prime is 676768780799. The next prime is 676768780829. The reversal of 676768780800 is 8087867676.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55635519 + ... + 55647681.

It is an arithmetic number, because the mean of its divisors is an integer number (3086055456).

Almost surely, 2^676768780800 is an apocalyptic number.

676768780800 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 676768780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481306618880).

676768780800 is an abundant number, since it is smaller than the sum of its proper divisors (2285844456960).

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

676768780800 is a wasteful number, since it uses less digits than its factorization.

676768780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12230 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 676768780800 in words is "six hundred seventy-six billion, seven hundred sixty-eight million, seven hundred eighty thousand, eight hundred".