8016406272 has 216 divisors, whose sum is σ = 27577443600. Its totient is φ = 2290305024.

The previous prime is 8016406267. The next prime is 8016406283. The reversal of 8016406272 is 2726046108.

8016406272 is a `hidden beast` number, since 8 + 0 + 1 + 640 + 6 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326854 + ... + 350522.

It is an arithmetic number, because the mean of its divisors is an integer number (127673350).

Almost surely, 2^8016406272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8016406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788721800).

8016406272 is an abundant number, since it is smaller than the sum of its proper divisors (19561037328).

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

8016406272 is a wasteful number, since it uses less digits than its factorization.

8016406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23708 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8016406272 is about 89534.3859754452. The cubic root of 8016406272 is about 2001.3662557934.

The spelling of 8016406272 in words is "eight billion, sixteen million, four hundred six thousand, two hundred seventy-two".