68246624400 has 480 divisors, whose sum is σ = 237548129280. Its totient is φ = 16692480000.

The previous prime is 68246624393. The next prime is 68246624441. The reversal of 68246624400 is 442664286.

68246624400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 148040170 + ... + 148040630.

It is an arithmetic number, because the mean of its divisors is an integer number (494891936).

Almost surely, 2^68246624400 is an apocalyptic number.

68246624400 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 68246624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118774064640).

68246624400 is an abundant number, since it is smaller than the sum of its proper divisors (169301504880).

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

68246624400 is a wasteful number, since it uses less digits than its factorization.

68246624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 68246624400 in words is "sixty-eight billion, two hundred forty-six million, six hundred twenty-four thousand, four hundred".