7464768 has 56 divisors (see below), whose sum is σ = 20921472. Its totient is φ = 2340864.

The previous prime is 7464767. The next prime is 7464799. The reversal of 7464768 is 8674647.

It is a super-3 number, since 3×7464768³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) 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 (7464763) 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 7 ways as a sum of consecutive naturals, for example, 2121 + ... + 4407.

Almost surely, 2^7464768 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 7464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460736).

7464768 is an abundant number, since it is smaller than the sum of its proper divisors (13456704).

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

7464768 is a wasteful number, since it uses less digits than its factorization.

7464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 7464768 is about 2732.1727617411. The cubic root of 7464768 is about 195.4363928140.

The spelling of 7464768 in words is "seven million, four hundred sixty-four thousand, seven hundred sixty-eight".