6536234654400 has 336 divisors, whose sum is σ = 23515025977728. Its totient is φ = 1576329216000.

The previous prime is 6536234654381. The next prime is 6536234654401. The reversal of 6536234654400 is 44564326356.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6536234654400.

It is not an unprimeable number, because it can be changed into a prime (6536234654401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9869695 + ... + 10511105.

Almost surely, 2^{6536234654400} is an apocalyptic number.

6536234654400 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 6536234654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757512988864).

6536234654400 is an abundant number, since it is smaller than the sum of its proper divisors (16978791323328).

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

6536234654400 is a wasteful number, since it uses less digits than its factorization.

6536234654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641640 (or 641625 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 6536234654400 in words is "six trillion, five hundred thirty-six billion, two hundred thirty-four million, six hundred fifty-four thousand, four hundred".