7480809648 has 160 divisors (see below), whose sum is σ = 23178724800. Its totient is φ = 2296387584.

The previous prime is 7480809643. The next prime is 7480809683. The reversal of 7480809648 is 8469080847.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7480809594 and 7480809603.

It is not an unprimeable number, because it can be changed into a prime (7480809643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857236 + ... + 2859852.

It is an arithmetic number, because the mean of its divisors is an integer number (144867030).

Almost surely, 2^7480809648 is an apocalyptic number.

7480809648 is a gapful number since it is divisible by the number (78) 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 7480809648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589362400).

7480809648 is an abundant number, since it is smaller than the sum of its proper divisors (15697915152).

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

7480809648 is a wasteful number, since it uses less digits than its factorization.

7480809648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 7480809648 is about 86491.6738651762. The cubic root of 7480809648 is about 1955.7628904499.

The spelling of 7480809648 in words is "seven billion, four hundred eighty million, eight hundred nine thousand, six hundred forty-eight".