6606738600 has 576 divisors, whose sum is σ = 26869708800. Its totient is φ = 1326528000.

The previous prime is 6606738587. The next prime is 6606738659. The reversal of 6606738600 is 68376066.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10025071 + ... + 10025729.

It is an arithmetic number, because the mean of its divisors is an integer number (46648800).

Almost surely, 2^6606738600 is an apocalyptic number.

6606738600 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 6606738600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434854400).

6606738600 is an abundant number, since it is smaller than the sum of its proper divisors (20262970200).

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

6606738600 is a wasteful number, since it uses less digits than its factorization.

6606738600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6606738600 is about 81281.8466817776. The cubic root of 6606738600 is about 1876.4156278188.

The spelling of 6606738600 in words is "six billion, six hundred six million, seven hundred thirty-eight thousand, six hundred".