8226586368 has 1152 divisors, whose sum is σ = 34613913600. Its totient is φ = 1857945600.

The previous prime is 8226586307. The next prime is 8226586373. The reversal of 8226586368 is 8636856228.

8226586368 is a `hidden beast` number, since 8 + 2 + 26 + 586 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 200648428 + ... + 200648468.

It is an arithmetic number, because the mean of its divisors is an integer number (30046800).

Almost surely, 2^8226586368 is an apocalyptic number.

8226586368 is a gapful number since it is divisible by the number (88) 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 8226586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306956800).

8226586368 is an abundant number, since it is smaller than the sum of its proper divisors (26387327232).

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

8226586368 is a wasteful number, since it uses less digits than its factorization.

8226586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 8226586368 is about 90700.5312443097. The cubic root of 8226586368 is about 2018.7066818426.

The spelling of 8226586368 in words is "eight billion, two hundred twenty-six million, five hundred eighty-six thousand, three hundred sixty-eight".