7413288480 has 336 divisors, whose sum is σ = 28284522840. Its totient is φ = 1824436224.

The previous prime is 7413288479. The next prime is 7413288497. The reversal of 7413288480 is 848823147.

It can be written as a sum of positive squares in 4 ways, for example, as 5345949456 + 2067339024 = 73116^2 + 45468^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1513876 + ... + 1518764.

Almost surely, 2^7413288480 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 7413288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142261420).

7413288480 is an abundant number, since it is smaller than the sum of its proper divisors (20871234360).

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

7413288480 is a wasteful number, since it uses less digits than its factorization.

7413288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7413288480 is about 86100.4557479227. The cubic root of 7413288480 is about 1949.8609131566.

The spelling of 7413288480 in words is "seven billion, four hundred thirteen million, two hundred eighty-eight thousand, four hundred eighty".