8306366520960 has 1024 divisors, whose sum is σ = 30361858560000. Its totient is φ = 2145509130240.

The previous prime is 8306366520941. The next prime is 8306366520979. The reversal of 8306366520960 is 690256636038.

8306366520960 is a `hidden beast` number, since 83 + 0 + 6 + 36 + 6 + 520 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8306366520941) and next prime (8306366520979).

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

It is a junction number, because it is equal to n+sod(n) for n = 8306366520897 and 8306366520906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23937655507 + ... + 23937655853.

It is an arithmetic number, because the mean of its divisors is an integer number (29650252500).

Almost surely, 2^{8306366520960} is an apocalyptic number.

8306366520960 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 8306366520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180929280000).

8306366520960 is an abundant number, since it is smaller than the sum of its proper divisors (22055492039040).

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

8306366520960 is a wasteful number, since it uses less digits than its factorization.

8306366520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 8306366520960 in words is "eight trillion, three hundred six billion, three hundred sixty-six million, five hundred twenty thousand, nine hundred sixty".