8026006560 has 192 divisors, whose sum is σ = 29702090880. Its totient is φ = 1796014080.

The previous prime is 8026006523. The next prime is 8026006633. The reversal of 8026006560 is 656006208.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10176 + ... + 127104.

It is an arithmetic number, because the mean of its divisors is an integer number (154698390).

Almost surely, 2^8026006560 is an apocalyptic number.

8026006560 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 8026006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851045440).

8026006560 is an abundant number, since it is smaller than the sum of its proper divisors (21676084320).

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

8026006560 is a wasteful number, since it uses less digits than its factorization.

8026006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116971 (or 116963 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 8026006560 is about 89587.9822297612. The cubic root of 8026006560 is about 2002.1648691586.

The spelling of 8026006560 in words is "eight billion, twenty-six million, six thousand, five hundred sixty".