6636069349920 has 288 divisors, whose sum is σ = 22712097071664. Its totient is φ = 1764429004800.

The previous prime is 6636069349883. The next prime is 6636069349961. The reversal of 6636069349920 is 299439606366.

6636069349920 is a `hidden beast` number, since 6 + 6 + 3 + 60 + 69 + 3 + 499 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2516322309264 + 4119747040656 = 1586292^2 + 2029716^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752299110 + ... + 752307930.

Almost surely, 2^{6636069349920} is an apocalyptic number.

6636069349920 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 6636069349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356048535832).

6636069349920 is an abundant number, since it is smaller than the sum of its proper divisors (16076027721744).

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

6636069349920 is a wasteful number, since it uses less digits than its factorization.

6636069349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 63.

The spelling of 6636069349920 in words is "six trillion, six hundred thirty-six billion, sixty-nine million, three hundred forty-nine thousand, nine hundred twenty".