6068088432000 has 1280 divisors, whose sum is σ = 25851008177280. Its totient is φ = 1381913395200.

The previous prime is 6068088431983. The next prime is 6068088432013. The reversal of 6068088432000 is 2348808606.

It is a happy number.

6068088432000 is a `hidden beast` number, since 60 + 6 + 80 + 88 + 432 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2839534932 + ... + 2839537068.

Almost surely, 2^{6068088432000} is an apocalyptic number.

6068088432000 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 6068088432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925504088640).

6068088432000 is an abundant number, since it is smaller than the sum of its proper divisors (19782919745280).

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

6068088432000 is a wasteful number, since it uses less digits than its factorization.

6068088432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6068088432000 in words is "six trillion, sixty-eight billion, eighty-eight million, four hundred thirty-two thousand".