4966310880 has 240 divisors, whose sum is σ = 18290077344. Its totient is φ = 1266693120.

The previous prime is 4966310873. The next prime is 4966310917. The reversal of 4966310880 is 880136694.

4966310880 is a `hidden beast` number, since 4 + 9 + 6 + 631 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 289750 + ... + 306410.

Almost surely, 2^4966310880 is an apocalyptic number.

4966310880 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 4966310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145038672).

4966310880 is an abundant number, since it is smaller than the sum of its proper divisors (13323766464).

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

4966310880 is a wasteful number, since it uses less digits than its factorization.

4966310880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16711 (or 16694 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4966310880 is about 70472.0574412299. The cubic root of 4966310880 is about 1706.1267830354.

The spelling of 4966310880 in words is "four billion, nine hundred sixty-six million, three hundred ten thousand, eight hundred eighty".