8061552864 has 240 divisors, whose sum is σ = 26427416400. Its totient is φ = 2395754496.

The previous prime is 8061552833. The next prime is 8061552871. The reversal of 8061552864 is 4682551608.

8061552864 is a `hidden beast` number, since 8 + 0 + 61 + 5 + 528 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 832402 + ... + 842030.

It is an arithmetic number, because the mean of its divisors is an integer number (110114235).

Almost surely, 2^8061552864 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 8061552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213708200).

8061552864 is an abundant number, since it is smaller than the sum of its proper divisors (18365863536).

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

8061552864 is a wasteful number, since it uses less digits than its factorization.

8061552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8061552864 is about 89786.1507360684. The cubic root of 8061552864 is about 2005.1163058798.

The spelling of 8061552864 in words is "eight billion, sixty-one million, five hundred fifty-two thousand, eight hundred sixty-four".