8044666560 has 336 divisors, whose sum is σ = 33484815936. Its totient is φ = 1730543616.

The previous prime is 8044666541. The next prime is 8044666583. The reversal of 8044666560 is 656664408.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330984 + ... + 354456.

Almost surely, 2^8044666560 is an apocalyptic number.

8044666560 is a gapful number since it is divisible by the number (80) 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 8044666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742407968).

8044666560 is an abundant number, since it is smaller than the sum of its proper divisors (25440149376).

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

8044666560 is a wasteful number, since it uses less digits than its factorization.

8044666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8044666560 is about 89692.0652008861. The cubic root of 8044666560 is about 2003.7153073055.

The spelling of 8044666560 in words is "eight billion, forty-four million, six hundred sixty-six thousand, five hundred sixty".