6535323648000 has 2448 divisors, whose sum is σ = 28848043433664. Its totient is φ = 1471492915200.

The previous prime is 6535323647999. The next prime is 6535323648019. The reversal of 6535323648000 is 8463235356.

6535323648000 is a `hidden beast` number, since 6 + 5 + 3 + 532 + 36 + 4 + 80 + 0 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97542143967 + ... + 97542144033.

It is an arithmetic number, because the mean of its divisors is an integer number (11784331468).

Almost surely, 2^{6535323648000} is an apocalyptic number.

6535323648000 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 6535323648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424021716832).

6535323648000 is an abundant number, since it is smaller than the sum of its proper divisors (22312719785664).

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

6535323648000 is an frugal number, since it uses more digits than its factorization.

6535323648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 6535323648000 in words is "six trillion, five hundred thirty-five billion, three hundred twenty-three million, six hundred forty-eight thousand".