7488359648 has 288 divisors, whose sum is σ = 20699400960. Its totient is φ = 2574581760.

The previous prime is 7488359617. The next prime is 7488359651. The reversal of 7488359648 is 8469538847.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77199536 + ... + 77199632.

It is an arithmetic number, because the mean of its divisors is an integer number (71872920).

Almost surely, 2^7488359648 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 7488359648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349700480).

7488359648 is an abundant number, since it is smaller than the sum of its proper divisors (13211041312).

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

7488359648 is a wasteful number, since it uses less digits than its factorization.

7488359648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 153 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 62.

The square root of 7488359648 is about 86535.3086780188. The cubic root of 7488359648 is about 1956.4206198390.

The spelling of 7488359648 in words is "seven billion, four hundred eighty-eight million, three hundred fifty-nine thousand, six hundred forty-eight".