7481308320 has 216 divisors, whose sum is σ = 27121574844. Its totient is φ = 1877557248.

The previous prime is 7481308319. The next prime is 7481308343. The reversal of 7481308320 is 238031847.

It can be written as a sum of positive squares in 6 ways, for example, as 5381102736 + 2100205584 = 73356^2 + 45828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 407172 + ... + 425148.

Almost surely, 2^7481308320 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 7481308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560787422).

7481308320 is an abundant number, since it is smaller than the sum of its proper divisors (19640266524).

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

7481308320 is a wasteful number, since it uses less digits than its factorization.

7481308320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18004 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7481308320 is about 86494.5565917301. The cubic root of 7481308320 is about 1955.8063466428.

The spelling of 7481308320 in words is "seven billion, four hundred eighty-one million, three hundred eight thousand, three hundred twenty".