8448021504 has 264 divisors, whose sum is σ = 26555649120. Its totient is φ = 2571190272.

The previous prime is 8448021479. The next prime is 8448021511. The reversal of 8448021504 is 4051208448.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12819127 + ... + 12819785.

It is an arithmetic number, because the mean of its divisors is an integer number (100589580).

Almost surely, 2^8448021504 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 8448021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277824560).

8448021504 is an abundant number, since it is smaller than the sum of its proper divisors (18107627616).

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

8448021504 is a wasteful number, since it uses less digits than its factorization.

8448021504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8448021504 is about 91913.1193247188. The cubic root of 8448021504 is about 2036.6590759352.

The spelling of 8448021504 in words is "eight billion, four hundred forty-eight million, twenty-one thousand, five hundred four".