6601240800 has 1152 divisors, whose sum is σ = 30748032000. Its totient is φ = 1371686400.

The previous prime is 6601240771. The next prime is 6601240801. The reversal of 6601240800 is 80421066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6601240801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600112795 + ... + 600112805.

It is an arithmetic number, because the mean of its divisors is an integer number (26691000).

Almost surely, 2^6601240800 is an apocalyptic number.

6601240800 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 6601240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374016000).

6601240800 is an abundant number, since it is smaller than the sum of its proper divisors (24146791200).

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

6601240800 is an equidigital number, since it uses as much as digits as its factorization.

6601240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6601240800 is about 81248.0202835737. The cubic root of 6601240800 is about 1875.8949967218.

Adding to 6601240800 its reverse (80421066), we get a palindrome (6681661866).

The spelling of 6601240800 in words is "six billion, six hundred one million, two hundred forty thousand, eight hundred".