7482248640 has 280 divisors, whose sum is σ = 28018343760. Its totient is φ = 1890127872.

The previous prime is 7482248597. The next prime is 7482248663. The reversal of 7482248640 is 468422847.

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 39 ways as a sum of consecutive naturals, for example, 484884 + ... + 500076.

Almost surely, 2^7482248640 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 7482248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009171880).

7482248640 is an abundant number, since it is smaller than the sum of its proper divisors (20536095120).

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

7482248640 is a wasteful number, since it uses less digits than its factorization.

7482248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15241 (or 15222 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 7482248640 is about 86499.9921387280. The cubic root of 7482248640 is about 1955.8882844849. Note that the first 3 decimals are identical.

The spelling of 7482248640 in words is "seven billion, four hundred eighty-two million, two hundred forty-eight thousand, six hundred forty".