680864071680 has 840 divisors, whose sum is σ = 2641378539912. Its totient is φ = 167406206976.

The previous prime is 680864071639. The next prime is 680864071691. The reversal of 680864071680 is 86170468086.

680864071680 is a `hidden beast` number, since 6 + 80 + 86 + 407 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65404993536 + 615459078144 = 255744^2 + 784512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 776355402 + ... + 776356278.

Almost surely, 2^680864071680 is an apocalyptic number.

680864071680 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 680864071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320689269956).

680864071680 is an abundant number, since it is smaller than the sum of its proper divisors (1960514468232).

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

680864071680 is an frugal number, since it uses more digits than its factorization.

680864071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 680864071680 in words is "six hundred eighty billion, eight hundred sixty-four million, seventy-one thousand, six hundred eighty".