6642995724288 has 1728 divisors, whose sum is σ = 25780294612800. Its totient is φ = 1629542154240.

The previous prime is 6642995724241. The next prime is 6642995724293. The reversal of 6642995724288 is 8824275992466.

6642995724288 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 9 + 9 + 572 + 42 + 8 + 8 = 666.

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 84088553433 + ... + 84088553511.

It is an arithmetic number, because the mean of its divisors is an integer number (14919151975).

Almost surely, 2^{6642995724288} 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 6642995724288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890147306400).

6642995724288 is an abundant number, since it is smaller than the sum of its proper divisors (19137298888512).

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

6642995724288 is a wasteful number, since it uses less digits than its factorization.

6642995724288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 125 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 6642995724288 in words is "six trillion, six hundred forty-two billion, nine hundred ninety-five million, seven hundred twenty-four thousand, two hundred eighty-eight".