4966681680 has 120 divisors (see below), whose sum is σ = 17130669192. Its totient is φ = 1288645632.

The previous prime is 4966681669. The next prime is 4966681691. The reversal of 4966681680 is 861866694.

It is an interprime number because it is at equal distance from previous prime (4966681669) and next prime (4966681691).

It can be written as a sum of positive squares in 4 ways, for example, as 2958924816 + 2007756864 = 54396^2 + 44808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66579 + ... + 119858.

Almost surely, 2^4966681680 is an apocalyptic number.

4966681680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4966681680 is an abundant number, since it is smaller than the sum of its proper divisors (12163987512).

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

4966681680 is a wasteful number, since it uses less digits than its factorization.

4966681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186493 (or 186484 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4966681680 is about 70474.6882220844. The cubic root of 4966681680 is about 1706.1692435313.

The spelling of 4966681680 in words is "four billion, nine hundred sixty-six million, six hundred eighty-one thousand, six hundred eighty".