680274472086 has 256 divisors, whose sum is σ = 1722489753600. Its totient is φ = 197217676800.

The previous prime is 680274472081. The next prime is 680274472099.

It is a happy number.

680274472086 is a `hidden beast` number, since 6 + 80 + 27 + 447 + 20 + 86 = 666.

680274472086 is nontrivially palindromic in base 10.

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 (680274472081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 294617500 + ... + 294619808.

It is an arithmetic number, because the mean of its divisors is an integer number (6728475600).

Almost surely, 2^680274472086 is an apocalyptic number.

680274472086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 680274472086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861244876800).

680274472086 is an abundant number, since it is smaller than the sum of its proper divisors (1042215281514).

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

680274472086 is a wasteful number, since it uses less digits than its factorization.

680274472086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 680274472086 in words is "six hundred eighty billion, two hundred seventy-four million, four hundred seventy-two thousand, eighty-six".