8045960832 has 768 divisors, whose sum is σ = 30795448320. Its totient is φ = 1958584320.

The previous prime is 8045960807. The next prime is 8045960869. The reversal of 8045960832 is 2380695408.

8045960832 is a `hidden beast` number, since 8 + 0 + 4 + 5 + 9 + 608 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113323357 + ... + 113323427.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^8045960832 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 8045960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397724160).

8045960832 is an abundant number, since it is smaller than the sum of its proper divisors (22749487488).

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

8045960832 is a wasteful number, since it uses less digits than its factorization.

8045960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8045960832 is about 89699.2799971103. The cubic root of 8045960832 is about 2003.8227579389.

The spelling of 8045960832 in words is "eight billion, forty-five million, nine hundred sixty thousand, eight hundred thirty-two".