6610010600 has 96 divisors (see below), whose sum is σ = 16048303200. Its totient is φ = 2528736000.

The previous prime is 6610010599. The next prime is 6610010609. The reversal of 6610010600 is 60100166.

It is a super-2 number, since 2×6610010600² = 87384480264224720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6610010609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 615275 + ... + 625925.

It is an arithmetic number, because the mean of its divisors is an integer number (167169825).

Almost surely, 2^6610010600 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 6610010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024151600).

6610010600 is an abundant number, since it is smaller than the sum of its proper divisors (9438292600).

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

6610010600 is a wasteful number, since it uses less digits than its factorization.

6610010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 6610010600 is about 81301.9716858085. The cubic root of 6610010600 is about 1876.7253428451.

Adding to 6610010600 its reverse (60100166), we get a palindrome (6670110766).

The spelling of 6610010600 in words is "six billion, six hundred ten million, ten thousand, six hundred".