681745946400 has 216 divisors, whose sum is σ = 2530533816720. Its totient is φ = 172230520320.

The previous prime is 681745946377. The next prime is 681745946407. The reversal of 681745946400 is 4649547186.

681745946400 is a `hidden beast` number, since 6 + 8 + 1 + 7 + 4 + 594 + 6 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (681745946407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2354962 + ... + 2628561.

Almost surely, 2^681745946400 is an apocalyptic number.

681745946400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681745946400 is an abundant number, since it is smaller than the sum of its proper divisors (1848787870320).

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

681745946400 is a wasteful number, since it uses less digits than its factorization.

681745946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983568 (or 4983552 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 681745946400 in words is "six hundred eighty-one billion, seven hundred forty-five million, nine hundred forty-six thousand, four hundred".