6536468953872 has 1920 divisors, whose sum is σ = 24068188108800. Its totient is φ = 1680163430400.

The previous prime is 6536468953871. The next prime is 6536468953879. The reversal of 6536468953872 is 2783598646356.

6536468953872 is a `hidden beast` number, since 6 + 5 + 3 + 6 + 4 + 6 + 89 + 538 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6536468953872.

It is not an unprimeable number, because it can be changed into a prime (6536468953871) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61088494843 + ... + 61088494949.

It is an arithmetic number, because the mean of its divisors is an integer number (12535514640).

Almost surely, 2^{6536468953872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6536468953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034094054400).

6536468953872 is an abundant number, since it is smaller than the sum of its proper divisors (17531719154928).

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

6536468953872 is a wasteful number, since it uses less digits than its factorization.

6536468953872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 6536468953872 in words is "six trillion, five hundred thirty-six billion, four hundred sixty-eight million, nine hundred fifty-three thousand, eight hundred seventy-two".