8359464960 has 1248 divisors, whose sum is σ = 39253893120. Its totient is φ = 1592524800.

The previous prime is 8359464917. The next prime is 8359464989. The reversal of 8359464960 is 694649538.

8359464960 is a `hidden beast` number, since 8 + 3 + 594 + 6 + 49 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8359464897 and 8359464906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269660145 + ... + 269660175.

It is an arithmetic number, because the mean of its divisors is an integer number (31453440).

Almost surely, 2^8359464960 is an apocalyptic number.

8359464960 is a gapful number since it is divisible by the number (80) 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 8359464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626946560).

8359464960 is an abundant number, since it is smaller than the sum of its proper divisors (30894428160).

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

8359464960 is a wasteful number, since it uses less digits than its factorization.

8359464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 8359464960 is about 91430.1097013451. The cubic root of 8359464960 is about 2029.5176250380.

The spelling of 8359464960 in words is "eight billion, three hundred fifty-nine million, four hundred sixty-four thousand, nine hundred sixty".