6534823680 has 864 divisors, whose sum is σ = 28927342080. Its totient is φ = 1322680320.

The previous prime is 6534823651. The next prime is 6534823693. The reversal of 6534823680 is 863284356.

It is a happy number.

6534823680 is a `hidden beast` number, since 6 + 534 + 8 + 2 + 36 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47013051 + ... + 47013189.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^6534823680 is an apocalyptic number.

6534823680 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 6534823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463671040).

6534823680 is an abundant number, since it is smaller than the sum of its proper divisors (22392518400).

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

6534823680 is a wasteful number, since it uses less digits than its factorization.

6534823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6534823680 is about 80838.2562899522. The cubic root of 6534823680 is about 1869.5824589420.

The spelling of 6534823680 in words is "six billion, five hundred thirty-four million, eight hundred twenty-three thousand, six hundred eighty".