4956666880 has 352 divisors, whose sum is σ = 14262054912. Its totient is φ = 1631846400.

The previous prime is 4956666739. The next prime is 4956666881. The reversal of 4956666880 is 886666594.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956666881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29680557 + ... + 29680723.

Almost surely, 2^4956666880 is an apocalyptic number.

4956666880 is a gapful number since it is divisible by the number (40) 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 4956666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131027456).

4956666880 is an abundant number, since it is smaller than the sum of its proper divisors (9305388032).

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

4956666880 is a wasteful number, since it uses less digits than its factorization.

4956666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The square root of 4956666880 is about 70403.5999079593. The cubic root of 4956666880 is about 1705.0217006036.

The spelling of 4956666880 in words is "four billion, nine hundred fifty-six million, six hundred sixty-six thousand, eight hundred eighty".