681389117600 has 288 divisors, whose sum is σ = 1802337143040. Its totient is φ = 250566901760.

The previous prime is 681389117597. The next prime is 681389117657. The reversal of 681389117600 is 6711983186.

It is a super-2 number, since 2×681389117600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528617756 + ... + 528619044.

It is an arithmetic number, because the mean of its divisors is an integer number (6258115080).

Almost surely, 2^681389117600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681389117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901168571520).

681389117600 is an abundant number, since it is smaller than the sum of its proper divisors (1120948025440).

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

681389117600 is a wasteful number, since it uses less digits than its factorization.

681389117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 681389117600 in words is "six hundred eighty-one billion, three hundred eighty-nine million, one hundred seventeen thousand, six hundred".