7463348672 has 112 divisors (see below), whose sum is σ = 16249497600. Its totient is φ = 3380382720.

The previous prime is 7463348639. The next prime is 7463348681. The reversal of 7463348672 is 2768433647.

Its product of digits (4064256) is a multiple of the sum of its prime divisors (784).

It is a self number, because there is not a number n which added to its sum of digits gives 7463348672.

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 15 ways as a sum of consecutive naturals, for example, 17812079 + ... + 17812497.

It is an arithmetic number, because the mean of its divisors is an integer number (145084800).

Almost surely, 2^7463348672 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 7463348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124748800).

7463348672 is an abundant number, since it is smaller than the sum of its proper divisors (8786148928).

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

7463348672 is a wasteful number, since it uses less digits than its factorization.

7463348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 50.

The square root of 7463348672 is about 86390.6746819354. The cubic root of 7463348672 is about 1954.2400547094.

The spelling of 7463348672 in words is "seven billion, four hundred sixty-three million, three hundred forty-eight thousand, six hundred seventy-two".