6534871200 has 648 divisors, whose sum is σ = 27324555804. Its totient is φ = 1459814400.

The previous prime is 6534871181. The next prime is 6534871201. The reversal of 6534871200 is 21784356.

6534871200 is a `hidden beast` number, since 6 + 53 + 487 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3357970704 + 3176900496 = 57948^2 + 56364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6534871201) 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 107 ways as a sum of consecutive naturals, for example, 11325312 + ... + 11325888.

Almost surely, 2^6534871200 is an apocalyptic number.

6534871200 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 6534871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662277902).

6534871200 is an abundant number, since it is smaller than the sum of its proper divisors (20789684604).

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

6534871200 is a wasteful number, since it uses less digits than its factorization.

6534871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6534871200 is about 80838.5502096617. The cubic root of 6534871200 is about 1869.5869906808.

The spelling of 6534871200 in words is "six billion, five hundred thirty-four million, eight hundred seventy-one thousand, two hundred".