6531325624320 has 960 divisors, whose sum is σ = 25768470578400. Its totient is φ = 1403648999424.

The previous prime is 6531325624301. The next prime is 6531325624331. The reversal of 6531325624320 is 234265231356.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6550978062 + ... + 6550979058.

Almost surely, 2^{6531325624320} is an apocalyptic number.

6531325624320 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 6531325624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884235289200).

6531325624320 is an abundant number, since it is smaller than the sum of its proper divisors (19237144954080).

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

6531325624320 is an frugal number, since it uses more digits than its factorization.

6531325624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 6531325624320 in words is "six trillion, five hundred thirty-one billion, three hundred twenty-five million, six hundred twenty-four thousand, three hundred twenty".