681128797824 has 832 divisors, whose sum is σ = 2341740153600. Its totient is φ = 195910410240.

The previous prime is 681128797823. The next prime is 681128797829. The reversal of 681128797824 is 428797821186.

Its product of digits (21676032) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681128797823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 21971896689 + ... + 21971896719.

Almost surely, 2^681128797824 is an apocalyptic number.

681128797824 is a gapful number since it is divisible by the number (64) 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 681128797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170870076800).

681128797824 is an abundant number, since it is smaller than the sum of its proper divisors (1660611355776).

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

681128797824 is an frugal number, since it uses more digits than its factorization.

681128797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 681128797824 in words is "six hundred eighty-one billion, one hundred twenty-eight million, seven hundred ninety-seven thousand, eight hundred twenty-four".