6537696000 has 576 divisors, whose sum is σ = 24427533312. Its totient is φ = 1536000000.

The previous prime is 6537695999. The next prime is 6537696007. The reversal of 6537696000 is 6967356.

It is not an unprimeable number, because it can be changed into a prime (6537696007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43295925 + ... + 43296075.

It is an arithmetic number, because the mean of its divisors is an integer number (42408912).

Almost surely, 2^6537696000 is an apocalyptic number.

6537696000 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 6537696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213766656).

6537696000 is an abundant number, since it is smaller than the sum of its proper divisors (17889837312).

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

6537696000 is a wasteful number, since it uses less digits than its factorization.

6537696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 6537696000 is about 80856.0201840284. The cubic root of 6537696000 is about 1869.8563379202.

The spelling of 6537696000 in words is "six billion, five hundred thirty-seven million, six hundred ninety-six thousand".