6537216000 has 576 divisors, whose sum is σ = 26172357120. Its totient is φ = 1415577600.

The previous prime is 6537215977. The next prime is 6537216001. The reversal of 6537216000 is 6127356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6537216001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344063991 + ... + 344064009.

It is an arithmetic number, because the mean of its divisors is an integer number (45438120).

Almost surely, 2^6537216000 is an apocalyptic number.

6537216000 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 6537216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086178560).

6537216000 is an abundant number, since it is smaller than the sum of its proper divisors (19635141120).

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

6537216000 is an frugal number, since it uses more digits than its factorization.

6537216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 6537216000 is about 80853.0518904512. The cubic root of 6537216000 is about 1869.8105749578.

The spelling of 6537216000 in words is "six billion, five hundred thirty-seven million, two hundred sixteen thousand".