8063725824 has 576 divisors, whose sum is σ = 30218496000. Its totient is φ = 2060328960.

The previous prime is 8063725823. The next prime is 8063725849. The reversal of 8063725824 is 4285273608.

8063725824 is a `hidden beast` number, since 8 + 0 + 63 + 7 + 2 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 8063725824.

It is not an unprimeable number, because it can be changed into a prime (8063725823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58012347 + ... + 58012485.

Almost surely, 2^8063725824 is an apocalyptic number.

8063725824 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 8063725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109248000).

8063725824 is an abundant number, since it is smaller than the sum of its proper divisors (22154770176).

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

8063725824 is a wasteful number, since it uses less digits than its factorization.

8063725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8063725824 is about 89798.2506733845. The cubic root of 8063725824 is about 2005.2964467776.

The spelling of 8063725824 in words is "eight billion, sixty-three million, seven hundred twenty-five thousand, eight hundred twenty-four".