6327920448 has 224 divisors, whose sum is σ = 19597420800. Its totient is φ = 1998323712.

The previous prime is 6327920441. The next prime is 6327920453. The reversal of 6327920448 is 8440297236.

6327920448 is a `hidden beast` number, since 632 + 7 + 9 + 2 + 0 + 4 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6327920441) 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, 4490368 + ... + 4491776.

Almost surely, 2^6327920448 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 6327920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798710400).

6327920448 is an abundant number, since it is smaller than the sum of its proper divisors (13269500352).

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

6327920448 is a wasteful number, since it uses less digits than its factorization.

6327920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6327920448 is about 79548.2271832629. The cubic root of 6327920448 is about 1849.6391259089.

The spelling of 6327920448 in words is "six billion, three hundred twenty-seven million, nine hundred twenty thousand, four hundred forty-eight".