8180972460 has 60 divisors (see below), whose sum is σ = 25664018688. Its totient is φ = 2181592224.

The previous prime is 8180972377. The next prime is 8180972477. The reversal of 8180972460 is 642790818.

8180972460 is a `hidden beast` number, since 8 + 180 + 9 + 7 + 2 + 460 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 19 ways as a sum of consecutive naturals, for example, 2523372 + ... + 2526611.

Almost surely, 2^8180972460 is an apocalyptic number.

It is an amenable number.

8180972460 is an abundant number, since it is smaller than the sum of its proper divisors (17483046228).

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

8180972460 is a wasteful number, since it uses less digits than its factorization.

8180972460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050004 (or 5049993 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8180972460 is about 90448.7283492698. The cubic root of 8180972460 is about 2014.9687274382.

The spelling of 8180972460 in words is "eight billion, one hundred eighty million, nine hundred seventy-two thousand, four hundred sixty".