68481815400 has 144 divisors (see below), whose sum is σ = 232569405900. Its totient is φ = 18056586240.

The previous prime is 68481815357. The next prime is 68481815447. The reversal of 68481815400 is 451818486.

68481815400 is a `hidden beast` number, since 68 + 4 + 8 + 181 + 5 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1418426244 + 67063389156 = 37662^2 + 258966^2 .

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 35 ways as a sum of consecutive naturals, for example, 53539 + ... + 373938.

Almost surely, 2^68481815400 is an apocalyptic number.

68481815400 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 68481815400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284702950).

68481815400 is an abundant number, since it is smaller than the sum of its proper divisors (164087590500).

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

68481815400 is a wasteful number, since it uses less digits than its factorization.

68481815400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427588 (or 427576 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 68481815400 in words is "sixty-eight billion, four hundred eighty-one million, eight hundred fifteen thousand, four hundred".