7480442880 has 512 divisors, whose sum is σ = 28311120000. Its totient is φ = 1868562432.

The previous prime is 7480442869. The next prime is 7480442897. The reversal of 7480442880 is 882440847.

It is a happy number.

7480442880 is a `hidden beast` number, since 74 + 80 + 4 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84049876 + ... + 84049964.

Almost surely, 2^7480442880 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 7480442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155560000).

7480442880 is an abundant number, since it is smaller than the sum of its proper divisors (20830677120).

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

7480442880 is an equidigital number, since it uses as much as digits as its factorization.

7480442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 7480442880 is about 86489.5535888583. The cubic root of 7480442880 is about 1955.7309276455.

The spelling of 7480442880 in words is "seven billion, four hundred eighty million, four hundred forty-two thousand, eight hundred eighty".