6068962800 has 240 divisors, whose sum is σ = 21691692000. Its totient is φ = 1611601920.

The previous prime is 6068962799. The next prime is 6068962811. The reversal of 6068962800 is 82698606.

It is a tau number, because it is divible by the number of its divisors (240).

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 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, 2904156 + ... + 2906244.

It is an arithmetic number, because the mean of its divisors is an integer number (90382050).

Almost surely, 2^6068962800 is an apocalyptic number.

6068962800 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 6068962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10845846000).

6068962800 is an abundant number, since it is smaller than the sum of its proper divisors (15622729200).

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

6068962800 is a wasteful number, since it uses less digits than its factorization.

6068962800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6068962800 is about 77903.5480578388. The cubic root of 6068962800 is about 1824.0559626182.

The spelling of 6068962800 in words is "six billion, sixty-eight million, nine hundred sixty-two thousand, eight hundred".