680018976000 has 2592 divisors, whose sum is σ = 3227112854784. Its totient is φ = 138848256000.

The previous prime is 680018975989. The next prime is 680018976019. The reversal of 680018976000 is 679810086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21936095985 + ... + 21936096015.

Almost surely, 2^680018976000 is an apocalyptic number.

680018976000 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 680018976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613556427392).

680018976000 is an abundant number, since it is smaller than the sum of its proper divisors (2547093878784).

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

680018976000 is an equidigital number, since it uses as much as digits as its factorization.

680018976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 680018976000 in words is "six hundred eighty billion, eighteen million, nine hundred seventy-six thousand".