7484187872 has 72 divisors (see below), whose sum is σ = 17317180944. Its totient is φ = 3174377472.

The previous prime is 7484187859. The next prime is 7484187917. The reversal of 7484187872 is 2787814847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 127493 + ... + 176699.

It is an arithmetic number, because the mean of its divisors is an integer number (240516402).

Almost surely, 2^7484187872 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 7484187872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658590472).

7484187872 is an abundant number, since it is smaller than the sum of its proper divisors (9832993072).

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

7484187872 is a wasteful number, since it uses less digits than its factorization.

7484187872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49328 (or 49313 counting only the distinct ones).

The product of its digits is 5619712, while the sum is 56.

The square root of 7484187872 is about 86511.2008470579. The cubic root of 7484187872 is about 1956.0572440984.

The spelling of 7484187872 in words is "seven billion, four hundred eighty-four million, one hundred eighty-seven thousand, eight hundred seventy-two".