8020573440 has 144 divisors (see below), whose sum is σ = 27944554176. Its totient is φ = 1944371200.

The previous prime is 8020573439. The next prime is 8020573469. The reversal of 8020573440 is 443750208.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52701 + ... + 137180.

It is an arithmetic number, because the mean of its divisors is an integer number (194059404).

Almost surely, 2^8020573440 is an apocalyptic number.

8020573440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8020573440 is an abundant number, since it is smaller than the sum of its proper divisors (19923980736).

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

8020573440 is a wasteful number, since it uses less digits than its factorization.

8020573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189916 (or 189902 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 8020573440 is about 89557.6542792407. The cubic root of 8020573440 is about 2001.7129857544.

The spelling of 8020573440 in words is "eight billion, twenty million, five hundred seventy-three thousand, four hundred forty".