6555103968 has 288 divisors, whose sum is σ = 21387421440. Its totient is φ = 1747630080.

The previous prime is 6555103931. The next prime is 6555103969. The reversal of 6555103968 is 8693015556.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6555103969) 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 47 ways as a sum of consecutive naturals, for example, 6345180 + ... + 6346212.

It is an arithmetic number, because the mean of its divisors is an integer number (74261880).

Almost surely, 2^6555103968 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 6555103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693710720).

6555103968 is an abundant number, since it is smaller than the sum of its proper divisors (14832317472).

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

6555103968 is a wasteful number, since it uses less digits than its factorization.

6555103968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 6555103968 is about 80963.5965604296. The cubic root of 6555103968 is about 1871.5144934964.

The spelling of 6555103968 in words is "six billion, five hundred fifty-five million, one hundred three thousand, nine hundred sixty-eight".