8001566720 has 288 divisors, whose sum is σ = 22990443840. Its totient is φ = 2663055360.

The previous prime is 8001566717. The next prime is 8001566759. The reversal of 8001566720 is 276651008.

It is a super-2 number, since 2×8001566720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 18564905 + ... + 18565335.

It is an arithmetic number, because the mean of its divisors is an integer number (79827930).

Almost surely, 2^8001566720 is an apocalyptic number.

8001566720 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 8001566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495221920).

8001566720 is an abundant number, since it is smaller than the sum of its proper divisors (14988877120).

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

8001566720 is a wasteful number, since it uses less digits than its factorization.

8001566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 8001566720 is about 89451.4769022848. The cubic root of 8001566720 is about 2000.1305514780.

The spelling of 8001566720 in words is "eight billion, one million, five hundred sixty-six thousand, seven hundred twenty".