7408220288 has 256 divisors, whose sum is σ = 19106150400. Its totient is φ = 2786918400.

The previous prime is 7408220233. The next prime is 7408220291. The reversal of 7408220288 is 8820228047.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13693298 + ... + 13693838.

It is an arithmetic number, because the mean of its divisors is an integer number (74633400).

Almost surely, 2^7408220288 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 7408220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553075200).

7408220288 is an abundant number, since it is smaller than the sum of its proper divisors (11697930112).

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

7408220288 is a wasteful number, since it uses less digits than its factorization.

7408220288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 7408220288 is about 86071.0188623325. The cubic root of 7408220288 is about 1949.4164625185.

The spelling of 7408220288 in words is "seven billion, four hundred eight million, two hundred twenty thousand, two hundred eighty-eight".