8321614479360 has 2816 divisors, whose sum is σ = 40587431270400. Its totient is φ = 1565515579392.

The previous prime is 8321614479349. The next prime is 8321614479361. The reversal of 8321614479360 is 639744161238.

8321614479360 is a `hidden beast` number, since 8 + 3 + 2 + 161 + 4 + 479 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8321614479297 and 8321614479306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8321614479361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437979709431 + ... + 437979709449.

Almost surely, 2^{8321614479360} is an apocalyptic number.

8321614479360 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 8321614479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293715635200).

8321614479360 is an abundant number, since it is smaller than the sum of its proper divisors (32265816791040).

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

8321614479360 is an equidigital number, since it uses as much as digits as its factorization.

8321614479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 8321614479360 in words is "eight trillion, three hundred twenty-one billion, six hundred fourteen million, four hundred seventy-nine thousand, three hundred sixty".