6617759616 has 320 divisors, whose sum is σ = 21798934080. Its totient is φ = 1979707392.

The previous prime is 6617759597. The next prime is 6617759651. The reversal of 6617759616 is 6169577166.

6617759616 is a `hidden beast` number, since 6 + 6 + 17 + 7 + 5 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 4986345 + ... + 4987671.

It is an arithmetic number, because the mean of its divisors is an integer number (68121669).

Almost surely, 2^6617759616 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 6617759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899467040).

6617759616 is an abundant number, since it is smaller than the sum of its proper divisors (15181174464).

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

6617759616 is a wasteful number, since it uses less digits than its factorization.

6617759616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1382 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 6617759616 is about 81349.6134963160. The cubic root of 6617759616 is about 1877.4584276757.

The spelling of 6617759616 in words is "six billion, six hundred seventeen million, seven hundred fifty-nine thousand, six hundred sixteen".