8449916267520 has 3520 divisors, whose sum is σ = 39371723145216. Its totient is φ = 1685528248320.

The previous prime is 8449916267497. The next prime is 8449916267659. The reversal of 8449916267520 is 257626199448.

8449916267520 is a `hidden beast` number, since 8 + 4 + 4 + 99 + 16 + 2 + 6 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 66534773697 + ... + 66534773823.

Almost surely, 2^{8449916267520} is an apocalyptic number.

8449916267520 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 8449916267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19685861572608).

8449916267520 is an abundant number, since it is smaller than the sum of its proper divisors (30921806877696).

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

8449916267520 is a wasteful number, since it uses less digits than its factorization.

8449916267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8449916267520 in words is "eight trillion, four hundred forty-nine billion, nine hundred sixteen million, two hundred sixty-seven thousand, five hundred twenty".