68193635328 has 1056 divisors, whose sum is σ = 260179791872. Its totient is φ = 16721510400.

The previous prime is 68193635309. The next prime is 68193635347. The reversal of 68193635328 is 82353639186.

It is a happy number.

68193635328 is a `hidden beast` number, since 68 + 19 + 36 + 3 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (68193635309) and next prime (68193635347).

Its product of digits (5598720) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117928418 + ... + 1117928478.

Almost surely, 2^68193635328 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 68193635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130089895936).

68193635328 is an abundant number, since it is smaller than the sum of its proper divisors (191986156544).

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

68193635328 is a wasteful number, since it uses less digits than its factorization.

68193635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 68193635328 in words is "sixty-eight billion, one hundred ninety-three million, six hundred thirty-five thousand, three hundred twenty-eight".