68791177728 has 240 divisors, whose sum is σ = 244353485376. Its totient is φ = 18142617600.

The previous prime is 68791177699. The next prime is 68791177747. The reversal of 68791177728 is 82777119786.

It is a super-2 number, since 2×68791177728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337303 + ... + 501353.

Almost surely, 2^68791177728 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 68791177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122176742688).

68791177728 is an abundant number, since it is smaller than the sum of its proper divisors (175562307648).

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

68791177728 is a wasteful number, since it uses less digits than its factorization.

68791177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164095 (or 164076 counting only the distinct ones).

The product of its digits is 16595712, while the sum is 63.

The spelling of 68791177728 in words is "sixty-eight billion, seven hundred ninety-one million, one hundred seventy-seven thousand, seven hundred twenty-eight".