68221994364000 has 2304 divisors, whose sum is σ = 281330685941760. Its totient is φ = 16147007078400.

The previous prime is 68221994363989. The next prime is 68221994364067. The reversal of 68221994364000 is 46349912286.

68221994364000 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 199 + 43 + 6 + 400 + 0 = 666.

68221994364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 27743794771 + ... + 27743797229.

It is an arithmetic number, because the mean of its divisors is an integer number (122105332440).

Almost surely, 2^{68221994364000} is an apocalyptic number.

68221994364000 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 68221994364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140665342970880).

68221994364000 is an abundant number, since it is smaller than the sum of its proper divisors (213108691577760).

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

68221994364000 is a wasteful number, since it uses less digits than its factorization.

68221994364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 68221994364000 in words is "sixty-eight trillion, two hundred twenty-one billion, nine hundred ninety-four million, three hundred sixty-four thousand".