6531295680 has 1008 divisors, whose sum is σ = 29236806144. Its totient is φ = 1358622720.

The previous prime is 6531295663. The next prime is 6531295703. The reversal of 6531295680 is 865921356.

6531295680 is a `hidden beast` number, since 65 + 3 + 1 + 29 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91990045 + ... + 91990115.

It is an arithmetic number, because the mean of its divisors is an integer number (29004768).

Almost surely, 2^6531295680 is an apocalyptic number.

6531295680 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 6531295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618403072).

6531295680 is an abundant number, since it is smaller than the sum of its proper divisors (22705510464).

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

6531295680 is a wasteful number, since it uses less digits than its factorization.

6531295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6531295680 is about 80816.4319925100. The cubic root of 6531295680 is about 1869.2459502830.

The spelling of 6531295680 in words is "six billion, five hundred thirty-one million, two hundred ninety-five thousand, six hundred eighty".