68032833120 has 960 divisors, whose sum is σ = 300123242496. Its totient is φ = 14153564160.

The previous prime is 68032833119. The next prime is 68032833139. The reversal of 68032833120 is 2133823086.

68032833120 is a `hidden beast` number, since 68 + 0 + 3 + 283 + 312 + 0 = 666.

68032833120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47808729 + ... + 47810151.

Almost surely, 2^68032833120 is an apocalyptic number.

68032833120 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 68032833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150061621248).

68032833120 is an abundant number, since it is smaller than the sum of its proper divisors (232090409376).

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

68032833120 is a wasteful number, since it uses less digits than its factorization.

68032833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 68032833120 in words is "sixty-eight billion, thirty-two million, eight hundred thirty-three thousand, one hundred twenty".