8021448960 has 432 divisors, whose sum is σ = 30198873600. Its totient is φ = 1809088512.

The previous prime is 8021448959. The next prime is 8021448979. The reversal of 8021448960 is 698441208.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16746001 + ... + 16746479.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 2^8021448960 is an apocalyptic number.

8021448960 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 8021448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099436800).

8021448960 is an abundant number, since it is smaller than the sum of its proper divisors (22177424640).

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

8021448960 is a wasteful number, since it uses less digits than its factorization.

8021448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8021448960 is about 89562.5421702622. The cubic root of 8021448960 is about 2001.7858182853.

The spelling of 8021448960 in words is "eight billion, twenty-one million, four hundred forty-eight thousand, nine hundred sixty".