6609846117888 has 480 divisors, whose sum is σ = 21128211520416. Its totient is φ = 1976674811904.

The previous prime is 6609846117761. The next prime is 6609846117907. The reversal of 6609846117888 is 8887116489066.

6609846117888 is a `hidden beast` number, since 6 + 6 + 0 + 98 + 461 + 1 + 78 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339705856 + ... + 339725312.

Almost surely, 2^{6609846117888} 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 6609846117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564105760208).

6609846117888 is an abundant number, since it is smaller than the sum of its proper divisors (14518365402528).

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

6609846117888 is a wasteful number, since it uses less digits than its factorization.

6609846117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654 (or 19635 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 6609846117888 in words is "six trillion, six hundred nine billion, eight hundred forty-six million, one hundred seventeen thousand, eight hundred eighty-eight".