680224650336 has 768 divisors, whose sum is σ = 2595673866240. Its totient is φ = 168148224000.

The previous prime is 680224650319. The next prime is 680224650421. The reversal of 680224650336 is 633056422086.

It is a happy number.

680224650336 is a `hidden beast` number, since 6 + 80 + 22 + 46 + 503 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 680224650291 and 680224650300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125801745 + ... + 125807151.

It is an arithmetic number, because the mean of its divisors is an integer number (3379783680).

Almost surely, 2^680224650336 is an apocalyptic number.

680224650336 is a gapful number since it is divisible by the number (66) 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 680224650336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297836933120).

680224650336 is an abundant number, since it is smaller than the sum of its proper divisors (1915449215904).

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

680224650336 is a wasteful number, since it uses less digits than its factorization.

680224650336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 680224650336 in words is "six hundred eighty billion, two hundred twenty-four million, six hundred fifty thousand, three hundred thirty-six".