681814627200 has 768 divisors, whose sum is σ = 2890968537600. Its totient is φ = 153698549760.

The previous prime is 681814627199. The next prime is 681814627297. The reversal of 681814627200 is 2726418186.

681814627200 is a `hidden beast` number, since 6 + 8 + 1 + 8 + 14 + 627 + 2 + 0 + 0 = 666.

681814627200 is digitally balanced in base 2 and base 4, because in such bases 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 95 ways as a sum of consecutive naturals, for example, 44142679 + ... + 44158121.

It is an arithmetic number, because the mean of its divisors is an integer number (3764281950).

Almost surely, 2^681814627200 is an apocalyptic number.

681814627200 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 681814627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445484268800).

681814627200 is an abundant number, since it is smaller than the sum of its proper divisors (2209153910400).

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

681814627200 is a wasteful number, since it uses less digits than its factorization.

681814627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15556 (or 15533 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 681814627200 in words is "six hundred eighty-one billion, eight hundred fourteen million, six hundred twenty-seven thousand, two hundred".