68893182720 has 1008 divisors, whose sum is σ = 270718332192. Its totient is φ = 16721510400.

The previous prime is 68893182643. The next prime is 68893182749. The reversal of 68893182720 is 2728139886.

It is a happy number.

It is a super-3 number, since 3×68893182720³ (a number of 33 digits) contains 333 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 682110670 + ... + 682110770.

It is an arithmetic number, because the mean of its divisors is an integer number (268569774).

Almost surely, 2^68893182720 is an apocalyptic number.

68893182720 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 68893182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135359166096).

68893182720 is an abundant number, since it is smaller than the sum of its proper divisors (201825149472).

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

68893182720 is a wasteful number, since it uses less digits than its factorization.

68893182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 68893182720 in words is "sixty-eight billion, eight hundred ninety-three million, one hundred eighty-two thousand, seven hundred twenty".