8005236480 has 504 divisors, whose sum is σ = 30079814688. Its totient is φ = 2036441088.

The previous prime is 8005236479. The next prime is 8005236517. The reversal of 8005236480 is 846325008.

8005236480 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 2 + 3 + 648 + 0 = 666.

It is a super-2 number, since 2×8005236480² (a number of 21 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 21461574 + ... + 21461946.

It is an arithmetic number, because the mean of its divisors is an integer number (59682172).

Almost surely, 2^8005236480 is an apocalyptic number.

8005236480 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 8005236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039907344).

8005236480 is an abundant number, since it is smaller than the sum of its proper divisors (22074578208).

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

8005236480 is an equidigital number, since it uses as much as digits as its factorization.

8005236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8005236480 is about 89471.9871244626. The cubic root of 8005236480 is about 2000.4362781571.

The spelling of 8005236480 in words is "eight billion, five million, two hundred thirty-six thousand, four hundred eighty".