681914959200 has 432 divisors, whose sum is σ = 2503548356400. Its totient is φ = 181123153920.

The previous prime is 681914959199. The next prime is 681914959211. The reversal of 681914959200 is 2959419186.

681914959200 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 1 + 49 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49953976 + ... + 49967624.

It is an arithmetic number, because the mean of its divisors is an integer number (5795250825).

Almost surely, 2^681914959200 is an apocalyptic number.

681914959200 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 681914959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251774178200).

681914959200 is an abundant number, since it is smaller than the sum of its proper divisors (1821633397200).

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

681914959200 is a wasteful number, since it uses less digits than its factorization.

681914959200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13941 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 681914959200 in words is "six hundred eighty-one billion, nine hundred fourteen million, nine hundred fifty-nine thousand, two hundred".