680320874534400 has 5760 divisors, whose sum is σ = 3024346118745600. Its totient is φ = 151205750784000.

The previous prime is 680320874534383. The next prime is 680320874534401. The reversal of 680320874534400 is 4435478023086.

680320874534400 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 20 + 87 + 4 + 534 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680320874534401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21945834662385 + ... + 21945834662415.

It is an arithmetic number, because the mean of its divisors is an integer number (525060090060).

Almost surely, 2^{680320874534400} is an apocalyptic number.

680320874534400 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 680320874534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512173059372800).

680320874534400 is an abundant number, since it is smaller than the sum of its proper divisors (2344025244211200).

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

680320874534400 is an frugal number, since it uses more digits than its factorization.

680320874534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 680320874534400 in words is "six hundred eighty trillion, three hundred twenty billion, eight hundred seventy-four million, five hundred thirty-four thousand, four hundred".