680761605420 has 324 divisors, whose sum is σ = 2359958445936. Its totient is φ = 158749943040.

The previous prime is 680761605413. The next prime is 680761605493. The reversal of 680761605420 is 24506167086.

680761605420 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 616 + 0 + 5 + 4 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10950625 + ... + 11012615.

It is an arithmetic number, because the mean of its divisors is an integer number (7283822364).

Almost surely, 2^680761605420 is an apocalyptic number.

680761605420 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 680761605420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179979222968).

680761605420 is an abundant number, since it is smaller than the sum of its proper divisors (1679196840516).

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

680761605420 is a wasteful number, since it uses less digits than its factorization.

680761605420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62070 (or 62033 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 680761605420 in words is "six hundred eighty billion, seven hundred sixty-one million, six hundred five thousand, four hundred twenty".