681134493600 has 864 divisors, whose sum is σ = 2749324032000. Its totient is φ = 157066905600.

The previous prime is 681134493563. The next prime is 681134493649. The reversal of 681134493600 is 6394431186.

681134493600 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 34 + 4 + 9 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362497461 + ... + 362499339.

It is an arithmetic number, because the mean of its divisors is an integer number (3182088000).

Almost surely, 2^681134493600 is an apocalyptic number.

681134493600 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 681134493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374662016000).

681134493600 is an abundant number, since it is smaller than the sum of its proper divisors (2068189538400).

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

681134493600 is a wasteful number, since it uses less digits than its factorization.

681134493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 681134493600 in words is "six hundred eighty-one billion, one hundred thirty-four million, four hundred ninety-three thousand, six hundred".