8066972160 has 480 divisors, whose sum is σ = 31422238848. Its totient is φ = 1897758720.

The previous prime is 8066972131. The next prime is 8066972191. The reversal of 8066972160 is 612796608.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6888375 + ... + 6889545.

Almost surely, 2^8066972160 is an apocalyptic number.

8066972160 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 8066972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711119424).

8066972160 is an abundant number, since it is smaller than the sum of its proper divisors (23355266688).

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

8066972160 is a wasteful number, since it uses less digits than its factorization.

8066972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8066972160 is about 89816.3245740996. The cubic root of 8066972160 is about 2005.5655115082.

The spelling of 8066972160 in words is "eight billion, sixty-six million, nine hundred seventy-two thousand, one hundred sixty".