68494328832000 has 896 divisors, whose sum is σ = 237635493638400. Its totient is φ = 17497718784000.

The previous prime is 68494328831987. The next prime is 68494328832053. The reversal of 68494328832000 is 23882349486.

It is a happy number.

It is a super-2 number, since 2×68494328832000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11670525066 + ... + 11670530934.

Almost surely, 2^{68494328832000} is an apocalyptic number.

68494328832000 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 68494328832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118817746819200).

68494328832000 is an abundant number, since it is smaller than the sum of its proper divisors (169141164806400).

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

68494328832000 is a wasteful number, since it uses less digits than its factorization.

68494328832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 68494328832000 in words is "sixty-eight trillion, four hundred ninety-four billion, three hundred twenty-eight million, eight hundred thirty-two thousand".