68035948992 has 336 divisors, whose sum is σ = 221929903104. Its totient is φ = 19740672000.

The previous prime is 68035948991. The next prime is 68035949027. The reversal of 68035948992 is 29984953086.

68035948992 is a `hidden beast` number, since 68 + 0 + 3 + 5 + 9 + 489 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68035948991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19050567 + ... + 19054137.

It is an arithmetic number, because the mean of its divisors is an integer number (660505664).

Almost surely, 2^68035948992 is an apocalyptic number.

68035948992 is a gapful number since it is divisible by the number (62) 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 68035948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110964951552).

68035948992 is an abundant number, since it is smaller than the sum of its proper divisors (153893954112).

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

68035948992 is a wasteful number, since it uses less digits than its factorization.

68035948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 68035948992 in words is "sixty-eight billion, thirty-five million, nine hundred forty-eight thousand, nine hundred ninety-two".