8059546656 has 720 divisors, whose sum is σ = 30033400320. Its totient is φ = 2107607040.

The previous prime is 8059546577. The next prime is 8059546661. The reversal of 8059546656 is 6566459508.

8059546656 is a `hidden beast` number, since 8 + 0 + 595 + 46 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90556660 + ... + 90556748.

It is an arithmetic number, because the mean of its divisors is an integer number (41713056).

Almost surely, 2^8059546656 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 8059546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016700160).

8059546656 is an abundant number, since it is smaller than the sum of its proper divisors (21973853664).

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

8059546656 is a wasteful number, since it uses less digits than its factorization.

8059546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 8059546656 is about 89774.9778947341. The cubic root of 8059546656 is about 2004.9499601734.

The spelling of 8059546656 in words is "eight billion, fifty-nine million, five hundred forty-six thousand, six hundred fifty-six".