8006753538 has 48 divisors (see below), whose sum is σ = 20001735936. Its totient is φ = 2267395200.

The previous prime is 8006753509. The next prime is 8006753561. The reversal of 8006753538 is 8353576008.

8006753538 is a `hidden beast` number, since 8 + 0 + 0 + 67 + 53 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8006753493 and 8006753502.

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, 266938 + ... + 295413.

It is an arithmetic number, because the mean of its divisors is an integer number (416702832).

Almost surely, 2^8006753538 is an apocalyptic number.

8006753538 is an abundant number, since it is smaller than the sum of its proper divisors (11994982398).

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

8006753538 is a wasteful number, since it uses less digits than its factorization.

8006753538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562479 (or 562476 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8006753538 is about 89480.4645607073. The cubic root of 8006753538 is about 2000.5626365386.

The spelling of 8006753538 in words is "eight billion, six million, seven hundred fifty-three thousand, five hundred thirty-eight".