68133047840 has 288 divisors, whose sum is σ = 191589789888. Its totient is φ = 22743705600.

The previous prime is 68133047833. The next prime is 68133047869. The reversal of 68133047840 is 4874033186.

It is a super-2 number, since 2×68133047840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 68133047791 and 68133047800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53103839 + ... + 53105121.

It is an arithmetic number, because the mean of its divisors is an integer number (665242326).

Almost surely, 2^68133047840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68133047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95794894944).

68133047840 is an abundant number, since it is smaller than the sum of its proper divisors (123456742048).

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

68133047840 is a wasteful number, since it uses less digits than its factorization.

68133047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 68133047840 in words is "sixty-eight billion, one hundred thirty-three million, forty-seven thousand, eight hundred forty".