68730916224 has 128 divisors (see below), whose sum is σ = 195636228480. Its totient is φ = 21302681600.

The previous prime is 68730916213. The next prime is 68730916249. The reversal of 68730916224 is 42261903786.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478399 + ... + 605249.

It is an arithmetic number, because the mean of its divisors is an integer number (1528408035).

Almost surely, 2^68730916224 is an apocalyptic number.

68730916224 is a gapful number since it is divisible by the number (64) 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 68730916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97818114240).

68730916224 is an abundant number, since it is smaller than the sum of its proper divisors (126905312256).

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

68730916224 is a wasteful number, since it uses less digits than its factorization.

68730916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126968 (or 126956 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 68730916224 in words is "sixty-eight billion, seven hundred thirty million, nine hundred sixteen thousand, two hundred twenty-four".