680223744 has 220 divisors, whose sum is σ = 2080570800. Its totient is φ = 221294592.

The previous prime is 680223721. The next prime is 680223773. The reversal of 680223744 is 447322086.

It is a super-3 number, since 3×680223744³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 680223699 and 680223708.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4893627 + ... + 4893765.

It is an arithmetic number, because the mean of its divisors is an integer number (9457140).

Almost surely, 2^680223744 is an apocalyptic number.

680223744 is a gapful number since it is divisible by the number (64) 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 680223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040285400).

680223744 is an abundant number, since it is smaller than the sum of its proper divisors (1400347056).

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

680223744 is a wasteful number, since it uses less digits than its factorization.

680223744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 680223744 is about 26081.0993633321. The cubic root of 680223744 is about 879.4623713317.

The spelling of 680223744 in words is "six hundred eighty million, two hundred twenty-three thousand, seven hundred forty-four".