6068779200 has 882 divisors, whose sum is σ = 25181981132. Its totient is φ = 1437004800.

The previous prime is 6068779193. The next prime is 6068779231. The reversal of 6068779200 is 29778606.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 141134379 + ... + 141134421.

Almost surely, 2^6068779200 is an apocalyptic number.

6068779200 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 6068779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590990566).

6068779200 is an abundant number, since it is smaller than the sum of its proper divisors (19113201932).

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

6068779200 is a wasteful number, since it uses less digits than its factorization.

6068779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6068779200 is about 77902.3696687078. The cubic root of 6068779200 is about 1824.0375684783.

Adding to 6068779200 its product of nonzero digits (254016), we get a square (6069033216 = 77904²).

The spelling of 6068779200 in words is "six billion, sixty-eight million, seven hundred seventy-nine thousand, two hundred".