6416321472 has 224 divisors, whose sum is σ = 21243340800. Its totient is φ = 1881446400.

The previous prime is 6416321437. The next prime is 6416321491. The reversal of 6416321472 is 2741236146.

6416321472 is a `hidden beast` number, since 6 + 4 + 1 + 632 + 14 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583804 + ... + 594692.

Almost surely, 2^6416321472 is an apocalyptic number.

6416321472 is a gapful number since it is divisible by the number (62) 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 6416321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10621670400).

6416321472 is an abundant number, since it is smaller than the sum of its proper divisors (14827019328).

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

6416321472 is a wasteful number, since it uses less digits than its factorization.

6416321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10936 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6416321472 is about 80101.9442460668. The cubic root of 6416321472 is about 1858.2124762271.

The spelling of 6416321472 in words is "six billion, four hundred sixteen million, three hundred twenty-one thousand, four hundred seventy-two".