6760617696 has 336 divisors, whose sum is σ = 24018019200. Its totient is φ = 1829101824.

The previous prime is 6760617691. The next prime is 6760617727. The reversal of 6760617696 is 6967160676.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6760617691) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3101535 + ... + 3103713.

It is an arithmetic number, because the mean of its divisors is an integer number (71482200).

Almost surely, 2^6760617696 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 6760617696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009009600).

6760617696 is an abundant number, since it is smaller than the sum of its proper divisors (17257401504).

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

6760617696 is a wasteful number, since it uses less digits than its factorization.

6760617696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 6760617696 is about 82222.9754752283. The cubic root of 6760617696 is about 1890.8719785907.

The spelling of 6760617696 in words is "six billion, seven hundred sixty million, six hundred seventeen thousand, six hundred ninety-six".