6418649376 has 288 divisors, whose sum is σ = 19869857280. Its totient is φ = 1960138752.

The previous prime is 6418649359. The next prime is 6418649381. The reversal of 6418649376 is 6739468146.

6418649376 is a `hidden beast` number, since 6 + 4 + 1 + 86 + 493 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16500190 + ... + 16500578.

It is an arithmetic number, because the mean of its divisors is an integer number (68992560).

Almost surely, 2^6418649376 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 6418649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934928640).

6418649376 is an abundant number, since it is smaller than the sum of its proper divisors (13451207904).

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

6418649376 is a wasteful number, since it uses less digits than its factorization.

6418649376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6418649376 is about 80116.4738115701. The cubic root of 6418649376 is about 1858.4371749240.

The spelling of 6418649376 in words is "six billion, four hundred eighteen million, six hundred forty-nine thousand, three hundred seventy-six".