8047610664 has 256 divisors, whose sum is σ = 23030784000. Its totient is φ = 2331141120.

The previous prime is 8047610611. The next prime is 8047610677. The reversal of 8047610664 is 4660167408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27466102 + ... + 27466394.

It is an arithmetic number, because the mean of its divisors is an integer number (89964000).

Almost surely, 2^8047610664 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 8047610664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392000).

8047610664 is an abundant number, since it is smaller than the sum of its proper divisors (14983173336).

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

8047610664 is a wasteful number, since it uses less digits than its factorization.

8047610664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 8047610664 is about 89708.4759875008. The cubic root of 8047610664 is about 2003.9597105059.

The spelling of 8047610664 in words is "eight billion, forty-seven million, six hundred ten thousand, six hundred sixty-four".