68479824400 has 120 divisors (see below), whose sum is σ = 177676752960. Its totient is φ = 25213739520.

The previous prime is 68479824389. The next prime is 68479824419. The reversal of 68479824400 is 442897486.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848459 + ... + 1885141.

It is an arithmetic number, because the mean of its divisors is an integer number (1480639608).

Almost surely, 2^68479824400 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 68479824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88838376480).

68479824400 is an abundant number, since it is smaller than the sum of its proper divisors (109196928560).

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

68479824400 is a wasteful number, since it uses less digits than its factorization.

68479824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 68479824400 in words is "sixty-eight billion, four hundred seventy-nine million, eight hundred twenty-four thousand, four hundred".