68985294400 has 252 divisors, whose sum is σ = 187299231700. Its totient is φ = 24989184000.

The previous prime is 68985294377. The next prime is 68985294479. The reversal of 68985294400 is 449258986.

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 68954558464 = 5544^2 + 262592^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67565890 + ... + 67566910.

Almost surely, 2^68985294400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68985294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93649615850).

68985294400 is an abundant number, since it is smaller than the sum of its proper divisors (118313937300).

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

68985294400 is a wasteful number, since it uses less digits than its factorization.

68985294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 68985294400 in words is "sixty-eight billion, nine hundred eighty-five million, two hundred ninety-four thousand, four hundred".