6635505981024 has 144 divisors (see below), whose sum is σ = 19867783244400. Its totient is φ = 2094903917568.

The previous prime is 6635505980963. The next prime is 6635505981037. The reversal of 6635505981024 is 4201895055366.

6635505981024 is a `hidden beast` number, since 6 + 6 + 3 + 550 + 5 + 9 + 81 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22248762 + ... + 22545030.

It is an arithmetic number, because the mean of its divisors is an integer number (137970716975).

Almost surely, 2^{6635505981024} 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 6635505981024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933891622200).

6635505981024 is an abundant number, since it is smaller than the sum of its proper divisors (13232277263376).

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

6635505981024 is a wasteful number, since it uses less digits than its factorization.

6635505981024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300397 (or 300386 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 6635505981024 in words is "six trillion, six hundred thirty-five billion, five hundred five million, nine hundred eighty-one thousand, twenty-four".