6472320 has 64 divisors (see below), whose sum is σ = 20636640. Its totient is φ = 1725440.

The previous prime is 6472309. The next prime is 6472337. The reversal of 6472320 is 232746.

6472320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 6⁸ + 4⁵ + 7 + 2⁹ + 3¹⁴ + 2¹³ + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 3605.

Almost surely, 2^6472320 is an apocalyptic number.

6472320 is a gapful number since it is divisible by the number (60) 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 6472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318320).

6472320 is an abundant number, since it is smaller than the sum of its proper divisors (14164320).

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

6472320 is a wasteful number, since it uses less digits than its factorization.

6472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6472320 is about 2544.0754705787. The cubic root of 6472320 is about 186.3602683219.

The spelling of 6472320 in words is "six million, four hundred seventy-two thousand, three hundred twenty".