8033652480 has 432 divisors, whose sum is σ = 30396667392. Its totient is φ = 1771315200.

The previous prime is 8033652469. The next prime is 8033652493. The reversal of 8033652480 is 842563308.

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 47 ways as a sum of consecutive naturals, for example, 25831525 + ... + 25831835.

It is an arithmetic number, because the mean of its divisors is an integer number (70362656).

Almost surely, 2^8033652480 is an apocalyptic number.

8033652480 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 8033652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15198333696).

8033652480 is an abundant number, since it is smaller than the sum of its proper divisors (22363014912).

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

8033652480 is a wasteful number, since it uses less digits than its factorization.

8033652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 8033652480 is about 89630.6447594794. The cubic root of 8033652480 is about 2002.8004502423.

The spelling of 8033652480 in words is "eight billion, thirty-three million, six hundred fifty-two thousand, four hundred eighty".