68272626814000 has 320 divisors, whose sum is σ = 191197334016000. Its totient is φ = 23094205056000.

The previous prime is 68272626813997. The next prime is 68272626814121. The reversal of 68272626814000 is 41862627286.

It is a super-2 number, since 2×68272626814000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1527363651 + ... + 1527408349.

It is an arithmetic number, because the mean of its divisors is an integer number (597491668800).

Almost surely, 2^{68272626814000} 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 68272626814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95598667008000).

68272626814000 is an abundant number, since it is smaller than the sum of its proper divisors (122924707202000).

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

68272626814000 is a wasteful number, since it uses less digits than its factorization.

68272626814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46189 (or 46173 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 68272626814000 in words is "sixty-eight trillion, two hundred seventy-two billion, six hundred twenty-six million, eight hundred fourteen thousand".