6617160704 has 264 divisors, whose sum is σ = 17697870720. Its totient is φ = 2438553600.

The previous prime is 6617160689. The next prime is 6617160749. The reversal of 6617160704 is 4070617166.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10486469 + ... + 10487099.

Almost surely, 2^6617160704 is an apocalyptic number.

6617160704 is a gapful number since it is divisible by the number (64) 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 6617160704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848935360).

6617160704 is an abundant number, since it is smaller than the sum of its proper divisors (11080710016).

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

6617160704 is a wasteful number, since it uses less digits than its factorization.

6617160704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 6617160704 is about 81345.9323137918. The cubic root of 6617160704 is about 1877.4017888548.

The spelling of 6617160704 in words is "six billion, six hundred seventeen million, one hundred sixty thousand, seven hundred four".