8066254560 has 1152 divisors, whose sum is σ = 35212713984. Its totient is φ = 1532805120.

The previous prime is 8066254531. The next prime is 8066254579. The reversal of 8066254560 is 654526608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218006862 + ... + 218006898.

It is an arithmetic number, because the mean of its divisors is an integer number (30566592).

Almost surely, 2^8066254560 is an apocalyptic number.

8066254560 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 8066254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606356992).

8066254560 is an abundant number, since it is smaller than the sum of its proper divisors (27146459424).

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

8066254560 is a wasteful number, since it uses less digits than its factorization.

8066254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 8066254560 is about 89812.3296658092. The cubic root of 8066254560 is about 2005.5060411783.

The spelling of 8066254560 in words is "eight billion, sixty-six million, two hundred fifty-four thousand, five hundred sixty".