8064758520 has 640 divisors, whose sum is σ = 35346326400. Its totient is φ = 1600487424.

The previous prime is 8064758501. The next prime is 8064758591. The reversal of 8064758520 is 258574608.

8064758520 is a `hidden beast` number, since 8 + 0 + 6 + 47 + 585 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5011476 + ... + 5013084.

It is an arithmetic number, because the mean of its divisors is an integer number (55228635).

Almost surely, 2^8064758520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064758520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673163200).

8064758520 is an abundant number, since it is smaller than the sum of its proper divisors (27281567880).

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

8064758520 is a wasteful number, since it uses less digits than its factorization.

8064758520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8064758520 is about 89804.0005790388. Note that the first 3 decimals coincide. The cubic root of 8064758520 is about 2005.3820471261.

The spelling of 8064758520 in words is "eight billion, sixty-four million, seven hundred fifty-eight thousand, five hundred twenty".