681947424000 has 2016 divisors, whose sum is σ = 2810451990528. Its totient is φ = 164229120000.

The previous prime is 681947423957. The next prime is 681947424019. The reversal of 681947424000 is 424749186.

681947424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16632863980 + ... + 16632864020.

It is an arithmetic number, because the mean of its divisors is an integer number (1394073408).

Almost surely, 2^681947424000 is an apocalyptic number.

681947424000 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 681947424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405225995264).

681947424000 is an abundant number, since it is smaller than the sum of its proper divisors (2128504566528).

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

681947424000 is an equidigital number, since it uses as much as digits as its factorization.

681947424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 681947424000 in words is "six hundred eighty-one billion, nine hundred forty-seven million, four hundred twenty-four thousand".