8479276174656 has 672 divisors, whose sum is σ = 29795334831360. Its totient is φ = 2363229388800.

The previous prime is 8479276174651. The next prime is 8479276174679. The reversal of 8479276174656 is 6564716729748.

8479276174656 is a `hidden beast` number, since 8 + 4 + 7 + 92 + 76 + 1 + 7 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8479276174651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1190738776 + ... + 1190745896.

It is an arithmetic number, because the mean of its divisors is an integer number (44338295880).

Almost surely, 2^{8479276174656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8479276174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897667415680).

8479276174656 is an abundant number, since it is smaller than the sum of its proper divisors (21316058656704).

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

8479276174656 is an frugal number, since it uses more digits than its factorization.

8479276174656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7174 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 8479276174656 in words is "eight trillion, four hundred seventy-nine billion, two hundred seventy-six million, one hundred seventy-four thousand, six hundred fifty-six".