8045985024 has 972 divisors, whose sum is σ = 32230773120. Its totient is φ = 1916006400.

The previous prime is 8045985007. The next prime is 8045985041. The reversal of 8045985024 is 4205895408.

8045985024 is a `hidden beast` number, since 8 + 0 + 4 + 598 + 50 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8045985007) and next prime (8045985041).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 259547889 + ... + 259547919.

Almost surely, 2^8045985024 is an apocalyptic number.

8045985024 is a gapful number since it is divisible by the number (84) 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 8045985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115386560).

8045985024 is an abundant number, since it is smaller than the sum of its proper divisors (24184788096).

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

8045985024 is a wasteful number, since it uses less digits than its factorization.

8045985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8045985024 is about 89699.4148475897. The cubic root of 8045985024 is about 2003.8247662522.

The spelling of 8045985024 in words is "eight billion, forty-five million, nine hundred eighty-five thousand, twenty-four".