6656731680 has 144 divisors (see below), whose sum is σ = 21668435712. Its totient is φ = 1717747200.

The previous prime is 6656731661. The next prime is 6656731693. The reversal of 6656731680 is 861376566.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 454065 + ... + 468495.

It is an arithmetic number, because the mean of its divisors is an integer number (150475248).

Almost surely, 2^6656731680 is an apocalyptic number.

6656731680 is a gapful number since it is divisible by the number (60) 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 6656731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10834217856).

6656731680 is an abundant number, since it is smaller than the sum of its proper divisors (15011704032).

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

6656731680 is a wasteful number, since it uses less digits than its factorization.

6656731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14511 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 6656731680 is about 81588.7962896867. The cubic root of 6656731680 is about 1881.1366749173.

The spelling of 6656731680 in words is "six billion, six hundred fifty-six million, seven hundred thirty-one thousand, six hundred eighty".