6655416768 has 1008 divisors, whose sum is σ = 27888797664. Its totient is φ = 1486356480.

The previous prime is 6655416749. The next prime is 6655416787. The reversal of 6655416768 is 8676145566.

6655416768 is a `hidden beast` number, since 6 + 6 + 554 + 16 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6655416749) and next prime (6655416787).

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (7257600) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68612496 + ... + 68612592.

It is an arithmetic number, because the mean of its divisors is an integer number (27667458).

Almost surely, 2^6655416768 is an apocalyptic number.

6655416768 is a gapful number since it is divisible by the number (68) 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 6655416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944398832).

6655416768 is an abundant number, since it is smaller than the sum of its proper divisors (21233380896).

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

6655416768 is a wasteful number, since it uses less digits than its factorization.

6655416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 6655416768 is about 81580.7377265001. The cubic root of 6655416768 is about 1881.0128057179.

The spelling of 6655416768 in words is "six billion, six hundred fifty-five million, four hundred sixteen thousand, seven hundred sixty-eight".