68653809446400 has 3360 divisors, whose sum is σ = 291336429846528. Its totient is φ = 15923655475200.

The previous prime is 68653809446353. The next prime is 68653809446419. The reversal of 68653809446400 is 464490835686.

68653809446400 is a `hidden beast` number, since 6 + 8 + 6 + 5 + 3 + 80 + 94 + 464 + 0 + 0 = 666.

68653809446400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 113103474897 + ... + 113103475503.

Almost surely, 2^{68653809446400} is an apocalyptic number.

68653809446400 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 68653809446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668214923264).

68653809446400 is an abundant number, since it is smaller than the sum of its proper divisors (222682620400128).

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

68653809446400 is a wasteful number, since it uses less digits than its factorization.

68653809446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 68653809446400 in words is "sixty-eight trillion, six hundred fifty-three billion, eight hundred nine million, four hundred forty-six thousand, four hundred".