68264294400000 has 2880 divisors, whose sum is σ = 280139919897600. Its totient is φ = 16349921280000.

The previous prime is 68264294399969. The next prime is 68264294400011. The reversal of 68264294400000 is 449246286.

68264294400000 is a `hidden beast` number, since 68 + 264 + 294 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 604108799944 + ... + 604108800056.

It is an arithmetic number, because the mean of its divisors is an integer number (97270805520).

Almost surely, 2^{68264294400000} is an apocalyptic number.

68264294400000 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 68264294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140069959948800).

68264294400000 is an abundant number, since it is smaller than the sum of its proper divisors (211875625497600).

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

68264294400000 is an equidigital number, since it uses as much as digits as its factorization.

68264294400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 68264294400000 in words is "sixty-eight trillion, two hundred sixty-four billion, two hundred ninety-four million, four hundred thousand".