8247616816320 has 672 divisors, whose sum is σ = 33202794493440. Its totient is φ = 1839784181760.

The previous prime is 8247616816303. The next prime is 8247616816349. The reversal of 8247616816320 is 236186167428.

It is a happy number.

8247616816320 is a `hidden beast` number, since 8 + 2 + 4 + 7 + 616 + 8 + 16 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1264774660 + ... + 1264781180.

Almost surely, 2^{8247616816320} is an apocalyptic number.

8247616816320 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 8247616816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601397246720).

8247616816320 is an abundant number, since it is smaller than the sum of its proper divisors (24955177677120).

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

8247616816320 is a wasteful number, since it uses less digits than its factorization.

8247616816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8053 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8247616816320 in words is "eight trillion, two hundred forty-seven billion, six hundred sixteen million, eight hundred sixteen thousand, three hundred twenty".