8356566960 has 640 divisors, whose sum is σ = 34143528960. Its totient is φ = 1839366144.

The previous prime is 8356566929. The next prime is 8356566973. The reversal of 8356566960 is 696656538.

It is a super-2 number, since 2×8356566960² (a number of 21 digits) contains 22 as substring.

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 = 8356566897 and 8356566906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73951864 + ... + 73951976.

It is an arithmetic number, because the mean of its divisors is an integer number (53349264).

Almost surely, 2^8356566960 is an apocalyptic number.

8356566960 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 8356566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071764480).

8356566960 is an abundant number, since it is smaller than the sum of its proper divisors (25786962000).

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

8356566960 is a wasteful number, since it uses less digits than its factorization.

8356566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 8356566960 is about 91414.2601567173. The cubic root of 8356566960 is about 2029.2830716747.

The spelling of 8356566960 in words is "eight billion, three hundred fifty-six million, five hundred sixty-six thousand, nine hundred sixty".