8001079632 has 120 divisors (see below), whose sum is σ = 27559319424. Its totient is φ = 2110171392.

The previous prime is 8001079589. The next prime is 8001079717. The reversal of 8001079632 is 2369701008.

8001079632 is a `hidden beast` number, since 8 + 0 + 0 + 10 + 7 + 9 + 632 = 666.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292188 + ... + 318395.

Almost surely, 2^8001079632 is an apocalyptic number.

It is an amenable number.

8001079632 is an abundant number, since it is smaller than the sum of its proper divisors (19558239792).

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

8001079632 is a wasteful number, since it uses less digits than its factorization.

8001079632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610617 (or 610608 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 8001079632 is about 89448.7542227392. The cubic root of 8001079632 is about 2000.0899652864.

The spelling of 8001079632 in words is "eight billion, one million, seventy-nine thousand, six hundred thirty-two".