6531264000 has 960 divisors, whose sum is σ = 26887386240. Its totient is φ = 1513881600.

The previous prime is 6531263969. The next prime is 6531264031. The reversal of 6531264000 is 4621356.

6531264000 is a `hidden beast` number, since 6 + 5 + 3 + 12 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6531263969) and next prime (6531264031).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225215986 + ... + 225216014.

It is an arithmetic number, because the mean of its divisors is an integer number (28007694).

Almost surely, 2^6531264000 is an apocalyptic number.

6531264000 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 6531264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443693120).

6531264000 is an abundant number, since it is smaller than the sum of its proper divisors (20356122240).

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

6531264000 is a wasteful number, since it uses less digits than its factorization.

6531264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6531264000 is about 80816.2359925281. The cubic root of 6531264000 is about 1869.2429280236.

Adding to 6531264000 its reverse (4621356), we get a palindrome (6535885356).

The spelling of 6531264000 in words is "six billion, five hundred thirty-one million, two hundred sixty-four thousand".