8049180672 has 540 divisors, whose sum is σ = 28062969480. Its totient is φ = 2208301056.

The previous prime is 8049180647. The next prime is 8049180683. The reversal of 8049180672 is 2760819408.

8049180672 is a `hidden beast` number, since 80 + 491 + 80 + 6 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 423641079 + ... + 423641097.

It is an arithmetic number, because the mean of its divisors is an integer number (51968462).

Almost surely, 2^8049180672 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 8049180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031484740).

8049180672 is an abundant number, since it is smaller than the sum of its proper divisors (20013788808).

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

8049180672 is a wasteful number, since it uses less digits than its factorization.

8049180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

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

The square root of 8049180672 is about 89717.2261720123. The cubic root of 8049180672 is about 2004.0900195020.

The spelling of 8049180672 in words is "eight billion, forty-nine million, one hundred eighty thousand, six hundred seventy-two".