681037459200 has 864 divisors, whose sum is σ = 3004366041600. Its totient is φ = 147467796480.

The previous prime is 681037459183. The next prime is 681037459213. The reversal of 681037459200 is 2954730186.

681037459200 is a `hidden beast` number, since 68 + 10 + 374 + 5 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 22967584 + ... + 22997216.

It is a 1-persistent number, because it is pandigital, but 2⋅681037459200 = 1362074918400 is not.

Almost surely, 2^681037459200 is an apocalyptic number.

681037459200 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 681037459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502183020800).

681037459200 is an abundant number, since it is smaller than the sum of its proper divisors (2323328582400).

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

681037459200 is a wasteful number, since it uses less digits than its factorization.

681037459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29694 (or 29669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 681037459200 in words is "six hundred eighty-one billion, thirty-seven million, four hundred fifty-nine thousand, two hundred".