8479126656 has 1280 divisors, whose sum is σ = 36492825600. Its totient is φ = 1881169920.

The previous prime is 8479126651. The next prime is 8479126661. The reversal of 8479126656 is 6566219748.

It is an interprime number because it is at equal distance from previous prime (8479126651) and next prime (8479126661).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8479126651) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197188971 + ... + 197189013.

It is an arithmetic number, because the mean of its divisors is an integer number (28510020).

Almost surely, 2^8479126656 is an apocalyptic number.

8479126656 is a gapful number since it is divisible by the number (86) 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 8479126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246412800).

8479126656 is an abundant number, since it is smaller than the sum of its proper divisors (28013698944).

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

8479126656 is a wasteful number, since it uses less digits than its factorization.

8479126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 8479126656 is about 92082.1733887727. The cubic root of 8479126656 is about 2039.1556367224.

The spelling of 8479126656 in words is "eight billion, four hundred seventy-nine million, one hundred twenty-six thousand, six hundred fifty-six".