68083374528 has 896 divisors, whose sum is σ = 241858068480. Its totient is φ = 18811699200.

The previous prime is 68083374503. The next prime is 68083374547. The reversal of 68083374528 is 82547338086.

68083374528 is a `hidden beast` number, since 6 + 8 + 0 + 83 + 37 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 958920733 + ... + 958920803.

It is an arithmetic number, because the mean of its divisors is an integer number (269930880).

Almost surely, 2^68083374528 is an apocalyptic number.

68083374528 is a gapful number since it is divisible by the number (68) 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 68083374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120929034240).

68083374528 is an abundant number, since it is smaller than the sum of its proper divisors (173774693952).

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

68083374528 is a wasteful number, since it uses less digits than its factorization.

68083374528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

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

The spelling of 68083374528 in words is "sixty-eight billion, eighty-three million, three hundred seventy-four thousand, five hundred twenty-eight".