8164072480 has 24 divisors (see below), whose sum is σ = 19287621612. Its totient is φ = 3265628928.

The previous prime is 8164072471. The next prime is 8164072481. The reversal of 8164072480 is 842704618.

It can be written as a sum of positive squares in 2 ways, for example, as 7883308944 + 280763536 = 88788^2 + 16756^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (8164072481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25512567 + ... + 25512886.

Almost surely, 2^8164072480 is an apocalyptic number.

8164072480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8164072480 is an abundant number, since it is smaller than the sum of its proper divisors (11123549132).

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

8164072480 is a wasteful number, since it uses less digits than its factorization.

8164072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51025468 (or 51025460 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8164072480 is about 90355.2570689719. The cubic root of 8164072480 is about 2013.5802858734.

The spelling of 8164072480 in words is "eight billion, one hundred sixty-four million, seventy-two thousand, four hundred eighty".