6482418768 has 160 divisors (see below), whose sum is σ = 21331531520. Its totient is φ = 1846333440.

The previous prime is 6482418757. The next prime is 6482418769. The reversal of 6482418768 is 8678142846.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6482418769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015908 + ... + 1022268.

It is an arithmetic number, because the mean of its divisors is an integer number (133322072).

Almost surely, 2^6482418768 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 6482418768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665765760).

6482418768 is an abundant number, since it is smaller than the sum of its proper divisors (14849112752).

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

6482418768 is a wasteful number, since it uses less digits than its factorization.

6482418768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6710 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 6482418768 is about 80513.4694818202. The cubic root of 6482418768 is about 1864.5714399807.

The spelling of 6482418768 in words is "six billion, four hundred eighty-two million, four hundred eighteen thousand, seven hundred sixty-eight".