6651044400 has 960 divisors, whose sum is σ = 29448115200. Its totient is φ = 1264435200.

The previous prime is 6651044383. The next prime is 6651044429. The reversal of 6651044400 is 44401566.

It is a super-2 number, since 2×6651044400² = 88472783221542720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58858744 + ... + 58858856.

It is an arithmetic number, because the mean of its divisors is an integer number (30675120).

Almost surely, 2^6651044400 is an apocalyptic number.

6651044400 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 6651044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724057600).

6651044400 is an abundant number, since it is smaller than the sum of its proper divisors (22797070800).

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

6651044400 is a wasteful number, since it uses less digits than its factorization.

6651044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6651044400 is about 81553.9355273551. The cubic root of 6651044400 is about 1880.6007963624.

Adding to 6651044400 its reverse (44401566), we get a palindrome (6695445966).

The spelling of 6651044400 in words is "six billion, six hundred fifty-one million, forty-four thousand, four hundred".