6056665600 has 120 divisors (see below), whose sum is σ = 15253826148. Its totient is φ = 2382643200.

The previous prime is 6056665597. The next prime is 6056665603. The reversal of 6056665600 is 65666506.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6056665597) and next prime (6056665603).

It can be written as a sum of positive squares in 6 ways, for example, as 1478248704 + 4578416896 = 38448^2 + 67664^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6056665603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776922 + ... + 784678.

Almost surely, 2^6056665600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626913074).

6056665600 is an abundant number, since it is smaller than the sum of its proper divisors (9197160548).

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

6056665600 is an equidigital number, since it uses as much as digits as its factorization.

6056665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 6056665600 is about 77824.5822346641. The cubic root of 6056665600 is about 1822.8231353691.

The spelling of 6056665600 in words is "six billion, fifty-six million, six hundred sixty-five thousand, six hundred".