8466072960 has 128 divisors (see below), whose sum is σ = 27040412160. Its totient is φ = 2253035520.

The previous prime is 8466072943. The next prime is 8466072983. The reversal of 8466072960 is 692706648.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999945 + ... + 1008375.

It is an arithmetic number, because the mean of its divisors is an integer number (211253220).

Almost surely, 2^8466072960 is an apocalyptic number.

8466072960 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 8466072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520206080).

8466072960 is an abundant number, since it is smaller than the sum of its proper divisors (18574339200).

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

8466072960 is a wasteful number, since it uses less digits than its factorization.

8466072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 8466072960 is about 92011.2653972327. The cubic root of 8466072960 is about 2038.1086661096.

The spelling of 8466072960 in words is "eight billion, four hundred sixty-six million, seventy-two thousand, nine hundred sixty".