68274658012320 has 1152 divisors, whose sum is σ = 266436388108800. Its totient is φ = 15832212701184.

The previous prime is 68274658012313. The next prime is 68274658012331. The reversal of 68274658012320 is 2321085647286.

68274658012320 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 46 + 580 + 12 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×68274658012320² (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 191 ways as a sum of consecutive naturals, for example, 1699665196 + ... + 1699705364.

It is an arithmetic number, because the mean of its divisors is an integer number (231281586900).

Almost surely, 2^{68274658012320} is an apocalyptic number.

68274658012320 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 68274658012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133218194054400).

68274658012320 is an abundant number, since it is smaller than the sum of its proper divisors (198161730096480).

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

68274658012320 is a wasteful number, since it uses less digits than its factorization.

68274658012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40342 (or 40331 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 68274658012320 in words is "sixty-eight trillion, two hundred seventy-four billion, six hundred fifty-eight million, twelve thousand, three hundred twenty".