680233878656640 has 768 divisors, whose sum is σ = 2930268318531840. Its totient is φ = 141263850700800.

The previous prime is 680233878656609. The next prime is 680233878656659. The reversal of 680233878656640 is 46656878332086.

680233878656640 is a `hidden beast` number, since 6 + 8 + 0 + 23 + 38 + 7 + 8 + 6 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 752201550 + ... + 753105330.

It is an arithmetic number, because the mean of its divisors is an integer number (3815453539755).

Almost surely, 2^{680233878656640} is an apocalyptic number.

680233878656640 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 680233878656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465134159265920).

680233878656640 is an abundant number, since it is smaller than the sum of its proper divisors (2250034439875200).

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

680233878656640 is a wasteful number, since it uses less digits than its factorization.

680233878656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905521 (or 905506 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 680233878656640 in words is "six hundred eighty trillion, two hundred thirty-three billion, eight hundred seventy-eight million, six hundred fifty-six thousand, six hundred forty".