7480174144 has 63 divisors (see below), whose sum is σ = 15693404097. Its totient is φ = 3537013248.

The previous prime is 7480174123. The next prime is 7480174181. The reversal of 7480174144 is 4414710847.

The square root of 7480174144 is 86488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1232852544 + 6247321600 = 35112^2 + 79040^2 .

It is a super-2 number, since 2×7480174144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7480174097 and 7480174106.

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 8 ways as a sum of consecutive naturals, for example, 13145892 + ... + 13146460.

Almost surely, 2^7480174144 is an apocalyptic number.

7480174144 is the 86488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480174144

7480174144 is an abundant number, since it is smaller than the sum of its proper divisors (8213229953).

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

7480174144 is an frugal number, since it uses more digits than its factorization.

7480174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The cubic root of 7480174144 is about 1955.7075073922.

The spelling of 7480174144 in words is "seven billion, four hundred eighty million, one hundred seventy-four thousand, one hundred forty-four".