68756780400 has 360 divisors, whose sum is σ = 279504681984. Its totient is φ = 14286988800.

The previous prime is 68756780251. The next prime is 68756780453. The reversal of 68756780400 is 408765786.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 593649 + ... + 699951.

Almost surely, 2^68756780400 is an apocalyptic number.

68756780400 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 68756780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139752340992).

68756780400 is an abundant number, since it is smaller than the sum of its proper divisors (210747901584).

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

68756780400 is a wasteful number, since it uses less digits than its factorization.

68756780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106349 (or 106331 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 68756780400 in words is "sixty-eight billion, seven hundred fifty-six million, seven hundred eighty thousand, four hundred".