8025744384 has 440 divisors, whose sum is σ = 28628654208. Its totient is φ = 2189721600.

The previous prime is 8025744371. The next prime is 8025744409. The reversal of 8025744384 is 4834475208.

It is a happy number.

8025744384 is a `hidden beast` number, since 80 + 2 + 57 + 443 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13353684 + ... + 13354284.

Almost surely, 2^8025744384 is an apocalyptic number.

8025744384 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 8025744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314327104).

8025744384 is an abundant number, since it is smaller than the sum of its proper divisors (20602909824).

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

8025744384 is a wasteful number, since it uses less digits than its factorization.

8025744384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 8025744384 is about 89586.5189858385. The cubic root of 8025744384 is about 2002.1430681426.

The spelling of 8025744384 in words is "eight billion, twenty-five million, seven hundred forty-four thousand, three hundred eighty-four".