6531486720 has 704 divisors, whose sum is σ = 24902000640. Its totient is φ = 1445068800.

The previous prime is 6531486697. The next prime is 6531486727. The reversal of 6531486720 is 276841356.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6531486727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151895019 + ... + 151895061.

It is an arithmetic number, because the mean of its divisors is an integer number (35372160).

Almost surely, 2^6531486720 is an apocalyptic number.

6531486720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6531486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451000320).

6531486720 is an abundant number, since it is smaller than the sum of its proper divisors (18370513920).

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

6531486720 is a wasteful number, since it uses less digits than its factorization.

6531486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 6531486720 is about 80817.6139217188. The cubic root of 6531486720 is about 1869.2641752152.

The spelling of 6531486720 in words is "six billion, five hundred thirty-one million, four hundred eighty-six thousand, seven hundred twenty".