6486511536 has 120 divisors (see below), whose sum is σ = 19650669360. Its totient is φ = 2048322816.

The previous prime is 6486511531. The next prime is 6486511547. The reversal of 6486511536 is 6351156846.

6486511536 is a `hidden beast` number, since 6 + 4 + 86 + 511 + 53 + 6 = 666.

It is a super-2 number, since 2×6486511536² = 84149663813322158592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6486511491 and 6486511500.

It is not an unprimeable number, because it can be changed into a prime (6486511531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135156 + ... + 176748.

It is an arithmetic number, because the mean of its divisors is an integer number (163755578).

Almost surely, 2^6486511536 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 6486511536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825334680).

6486511536 is an abundant number, since it is smaller than the sum of its proper divisors (13164157824).

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

6486511536 is a wasteful number, since it uses less digits than its factorization.

6486511536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41648 (or 41617 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 6486511536 is about 80538.8821377600. The cubic root of 6486511536 is about 1864.9637653932.

The spelling of 6486511536 in words is "six billion, four hundred eighty-six million, five hundred eleven thousand, five hundred thirty-six".