7473680 has 40 divisors (see below), whose sum is σ = 17564352. Its totient is φ = 2957184.

The previous prime is 7473679. The next prime is 7473709. The reversal of 7473680 is 863747.

7473680 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 (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7473680.

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, 7787 + ... + 8693.

Almost surely, 2^7473680 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 7473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782176).

7473680 is an abundant number, since it is smaller than the sum of its proper divisors (10090672).

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

7473680 is a wasteful number, since it uses less digits than its factorization.

7473680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 7473680 is about 2733.8032116449. The cubic root of 7473680 is about 195.5141374252.

The spelling of 7473680 in words is "seven million, four hundred seventy-three thousand, six hundred eighty".