68392710400 has 243 divisors, whose sum is σ = 197343201909. Its totient is φ = 23398717440.

The previous prime is 68392710383. The next prime is 68392710509. The reversal of 68392710400 is 401729386.

The square root of 68392710400 is 261520.

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., 24621375744 + 43771334656 = 156912^2 + 209216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146450967 + ... + 146451433.

Almost surely, 2^68392710400 is an apocalyptic number.

68392710400 is the 261520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68392710400

68392710400 is an abundant number, since it is smaller than the sum of its proper divisors (128950491509).

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

68392710400 is an frugal number, since it uses more digits than its factorization.

68392710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 68392710400 in words is "sixty-eight billion, three hundred ninety-two million, seven hundred ten thousand, four hundred".