7482048000 has 640 divisors, whose sum is σ = 30028078080. Its totient is φ = 1614643200.

The previous prime is 7482047999. The next prime is 7482048011. The reversal of 7482048000 is 8402847.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25535854 + ... + 25536146.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^7482048000 is an apocalyptic number.

7482048000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7482048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

7482048000 is an abundant number, since it is smaller than the sum of its proper divisors (22546030080).

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

7482048000 is a wasteful number, since it uses less digits than its factorization.

7482048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 7482048000 is about 86498.8323620614. The cubic root of 7482048000 is about 1955.8708016419.

The spelling of 7482048000 in words is "seven billion, four hundred eighty-two million, forty-eight thousand".