6472946304 has 384 divisors, whose sum is σ = 21944361600. Its totient is φ = 1873428480.

The previous prime is 6472946303. The next prime is 6472946321. The reversal of 6472946304 is 4036492746.

It is a happy number.

6472946304 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 9 + 4 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 6472946304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6472946303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9617712 + ... + 9618384.

It is an arithmetic number, because the mean of its divisors is an integer number (57146775).

Almost surely, 2^6472946304 is an apocalyptic number.

6472946304 is a gapful number since it is divisible by the number (64) 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 6472946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972180800).

6472946304 is an abundant number, since it is smaller than the sum of its proper divisors (15471415296).

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

6472946304 is a wasteful number, since it uses less digits than its factorization.

6472946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6472946304 is about 80454.6226391001. The cubic root of 6472946304 is about 1863.6627927407.

The spelling of 6472946304 in words is "six billion, four hundred seventy-two million, nine hundred forty-six thousand, three hundred four".