8178226560 has 640 divisors, whose sum is σ = 34502307840. Its totient is φ = 1806520320.

The previous prime is 8178226517. The next prime is 8178226571. The reversal of 8178226560 is 656228718.

8178226560 is a `hidden beast` number, since 8 + 1 + 7 + 82 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11248917 + ... + 11249643.

It is an arithmetic number, because the mean of its divisors is an integer number (53909856).

Almost surely, 2^8178226560 is an apocalyptic number.

8178226560 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 8178226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251153920).

8178226560 is an abundant number, since it is smaller than the sum of its proper divisors (26324081280).

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

8178226560 is a wasteful number, since it uses less digits than its factorization.

8178226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8178226560 is about 90433.5477574556. The cubic root of 8178226560 is about 2014.7432643570.

The spelling of 8178226560 in words is "eight billion, one hundred seventy-eight million, two hundred twenty-six thousand, five hundred sixty".