7648031328 has 288 divisors, whose sum is σ = 24324572160. Its totient is φ = 2095672320.

The previous prime is 7648031327. The next prime is 7648031333. The reversal of 7648031328 is 8231308467.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7648031328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7648031327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26102350 + ... + 26102642.

It is an arithmetic number, because the mean of its divisors is an integer number (84460320).

Almost surely, 2^7648031328 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 7648031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162286080).

7648031328 is an abundant number, since it is smaller than the sum of its proper divisors (16676540832).

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

7648031328 is a wasteful number, since it uses less digits than its factorization.

7648031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 7648031328 is about 87453.0235497893. The cubic root of 7648031328 is about 1970.2282992738.

The spelling of 7648031328 in words is "seven billion, six hundred forty-eight million, thirty-one thousand, three hundred twenty-eight".