68823284160400 has 405 divisors, whose sum is σ = 211458166323537. Its totient is φ = 21447431174400.

The previous prime is 68823284160383. The next prime is 68823284160451. The reversal of 68823284160400 is 406148232886.

The square root of 68823284160400 is 8295980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24776382297744 + 44046901862656 = 4977588^2 + 6636784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12775806507 + ... + 12775811893.

Almost surely, 2^{68823284160400} is an apocalyptic number.

68823284160400 is the 8295980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68823284160400

68823284160400 is an abundant number, since it is smaller than the sum of its proper divisors (142634882163137).

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

68823284160400 is an equidigital number, since it uses as much as digits as its factorization.

68823284160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 68823284160400 in words is "sixty-eight trillion, eight hundred twenty-three billion, two hundred eighty-four million, one hundred sixty thousand, four hundred".