8331579648 has 648 divisors, whose sum is σ = 30614770368. Its totient is φ = 2212614144.

The previous prime is 8331579643. The next prime is 8331579661. The reversal of 8331579648 is 8469751338.

8331579648 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 579 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4354560) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 8331579594 and 8331579603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8331579643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157199590 + ... + 157199642.

It is an arithmetic number, because the mean of its divisors is an integer number (47245016).

Almost surely, 2^8331579648 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 8331579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307385184).

8331579648 is an abundant number, since it is smaller than the sum of its proper divisors (22283190720).

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

8331579648 is an equidigital number, since it uses as much as digits as its factorization.

8331579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 8331579648 is about 91277.4870819744. The cubic root of 8331579648 is about 2027.2584383014.

The spelling of 8331579648 in words is "eight billion, three hundred thirty-one million, five hundred seventy-nine thousand, six hundred forty-eight".