68427839613672 has 768 divisors, whose sum is σ = 252022424371200. Its totient is φ = 16978845058560.

The previous prime is 68427839613641. The next prime is 68427839613689. The reversal of 68427839613672 is 27631693872486.

68427839613672 is a `hidden beast` number, since 6 + 8 + 427 + 83 + 9 + 61 + 3 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68427839613672.

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, 2134152313 + ... + 2134184375.

It is an arithmetic number, because the mean of its divisors is an integer number (328154198400).

Almost surely, 2^{68427839613672} 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 68427839613672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126011212185600).

68427839613672 is an abundant number, since it is smaller than the sum of its proper divisors (183594584757528).

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

68427839613672 is a wasteful number, since it uses less digits than its factorization.

68427839613672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32923 (or 32906 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 68427839613672 in words is "sixty-eight trillion, four hundred twenty-seven billion, eight hundred thirty-nine million, six hundred thirteen thousand, six hundred seventy-two".