681087182400 has 672 divisors, whose sum is σ = 2561446215680. Its totient is φ = 175941642240.

The previous prime is 681087182389. The next prime is 681087182441. The reversal of 681087182400 is 4281780186.

681087182400 is a `hidden beast` number, since 68 + 1 + 0 + 8 + 7 + 182 + 400 = 666.

681087182400 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235913757 + ... + 235916643.

Almost surely, 2^681087182400 is an apocalyptic number.

681087182400 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 681087182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280723107840).

681087182400 is an abundant number, since it is smaller than the sum of its proper divisors (1880359033280).

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

681087182400 is a wasteful number, since it uses less digits than its factorization.

681087182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 681087182400 in words is "six hundred eighty-one billion, eighty-seven million, one hundred eighty-two thousand, four hundred".