6611627616 has 96 divisors (see below), whose sum is σ = 19336278528. Its totient is φ = 1960880640.

The previous prime is 6611627599. The next prime is 6611627629. The reversal of 6611627616 is 6167261166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16975 + ... + 116238.

It is an arithmetic number, because the mean of its divisors is an integer number (201419568).

Almost surely, 2^6611627616 is an apocalyptic number.

6611627616 is a gapful number since it is divisible by the number (66) 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 6611627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668139264).

6611627616 is an abundant number, since it is smaller than the sum of its proper divisors (12724650912).

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

6611627616 is a wasteful number, since it uses less digits than its factorization.

6611627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133284 (or 133276 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 6611627616 is about 81311.9155843718. The cubic root of 6611627616 is about 1876.8783656698.

The spelling of 6611627616 in words is "six billion, six hundred eleven million, six hundred twenty-seven thousand, six hundred sixteen".