6336555456 has 224 divisors, whose sum is σ = 21092940288. Its totient is φ = 1630863360.

The previous prime is 6336555439. The next prime is 6336555457. The reversal of 6336555456 is 6545556336.

It is a tau number, because it is divible by the number of its divisors (224).

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 (6336555457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668696 + ... + 1672488.

It is an arithmetic number, because the mean of its divisors is an integer number (94164912).

Almost surely, 2^6336555456 is an apocalyptic number.

6336555456 is a gapful number since it is divisible by the number (66) 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 6336555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546470144).

6336555456 is an abundant number, since it is smaller than the sum of its proper divisors (14756384832).

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

6336555456 is a wasteful number, since it uses less digits than its factorization.

6336555456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3929 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The square root of 6336555456 is about 79602.4839813432. The cubic root of 6336555456 is about 1850.4800756529.

The spelling of 6336555456 in words is "six billion, three hundred thirty-six million, five hundred fifty-five thousand, four hundred fifty-six".