8479957236480 has 864 divisors, whose sum is σ = 31598969613120. Its totient is φ = 2175707381760.

The previous prime is 8479957236467. The next prime is 8479957236481. The reversal of 8479957236480 is 846327599748.

8479957236480 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 9 + 572 + 3 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8479957236399 and 8479957236408.

It is not an unprimeable number, because it can be changed into a prime (8479957236481) 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, 930938166 + ... + 930947274.

Almost surely, 2^{8479957236480} is an apocalyptic number.

8479957236480 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 8479957236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799484806560).

8479957236480 is an abundant number, since it is smaller than the sum of its proper divisors (23119012376640).

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

8479957236480 is an equidigital number, since it uses as much as digits as its factorization.

8479957236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 8479957236480 in words is "eight trillion, four hundred seventy-nine billion, nine hundred fifty-seven million, two hundred thirty-six thousand, four hundred eighty".