7480752552 has 288 divisors, whose sum is σ = 25446545280. Its totient is φ = 1943585280.

The previous prime is 7480752551. The next prime is 7480752577. The reversal of 7480752552 is 2552570847.

7480752552 is a `hidden beast` number, since 7 + 48 + 0 + 7 + 52 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7480752498 and 7480752507.

It is not an unprimeable number, because it can be changed into a prime (7480752551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6046878 + ... + 6048114.

It is an arithmetic number, because the mean of its divisors is an integer number (88356060).

Almost surely, 2^7480752552 is an apocalyptic number.

7480752552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480752552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723272640).

7480752552 is an abundant number, since it is smaller than the sum of its proper divisors (17965792728).

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

7480752552 is a wasteful number, since it uses less digits than its factorization.

7480752552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 7480752552 is about 86491.3437980935. The cubic root of 7480752552 is about 1955.7579147620.

The spelling of 7480752552 in words is "seven billion, four hundred eighty million, seven hundred fifty-two thousand, five hundred fifty-two".