6411695616 has 400 divisors, whose sum is σ = 20597491200. Its totient is φ = 1979707392.

The previous prime is 6411695581. The next prime is 6411695669. The reversal of 6411695616 is 6165961146.

It is a super-2 number, since 2×6411695616² = 82219681344467238912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62249421 + ... + 62249523.

It is an arithmetic number, because the mean of its divisors is an integer number (51493728).

Almost surely, 2^6411695616 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 6411695616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298745600).

6411695616 is an abundant number, since it is smaller than the sum of its proper divisors (14185795584).

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

6411695616 is a wasteful number, since it uses less digits than its factorization.

6411695616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 6411695616 is about 80073.0642351097. The cubic root of 6411695616 is about 1857.7658085675.

The spelling of 6411695616 in words is "six billion, four hundred eleven million, six hundred ninety-five thousand, six hundred sixteen".