8356479226080 has 768 divisors, whose sum is σ = 27782528256000. Its totient is φ = 2109675110400.

The previous prime is 8356479226079. The next prime is 8356479226097. The reversal of 8356479226080 is 806229746538.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 30167794902 + ... + 30167795178.

It is an arithmetic number, because the mean of its divisors is an integer number (36175167000).

Almost surely, 2^{8356479226080} is an apocalyptic number.

8356479226080 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 8356479226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891264128000).

8356479226080 is an abundant number, since it is smaller than the sum of its proper divisors (19426049029920).

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

8356479226080 is a wasteful number, since it uses less digits than its factorization.

8356479226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 8356479226080 in words is "eight trillion, three hundred fifty-six billion, four hundred seventy-nine million, two hundred twenty-six thousand, eighty".