8119645632 has 224 divisors, whose sum is σ = 27392010240. Its totient is φ = 2310405120.

The previous prime is 8119645619. The next prime is 8119645669. The reversal of 8119645632 is 2365469118.

8119645632 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 6 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3276778 + ... + 3279254.

It is an arithmetic number, because the mean of its divisors is an integer number (122285760).

Almost surely, 2^8119645632 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 8119645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696005120).

8119645632 is an abundant number, since it is smaller than the sum of its proper divisors (19272364608).

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

8119645632 is a wasteful number, since it uses less digits than its factorization.

8119645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2760 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 8119645632 is about 90109.0763020019. The cubic root of 8119645632 is about 2009.9211731172.

The spelling of 8119645632 in words is "eight billion, one hundred nineteen million, six hundred forty-five thousand, six hundred thirty-two".