4966628920 has 192 divisors, whose sum is σ = 12669048000. Its totient is φ = 1750425600.

The previous prime is 4966628893. The next prime is 4966628941. The reversal of 4966628920 is 298266694.

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 47 ways as a sum of consecutive naturals, for example, 33333006 + ... + 33333154.

It is an arithmetic number, because the mean of its divisors is an integer number (65984625).

Almost surely, 2^4966628920 is an apocalyptic number.

4966628920 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 4966628920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334524000).

4966628920 is an abundant number, since it is smaller than the sum of its proper divisors (7702419080).

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

4966628920 is a wasteful number, since it uses less digits than its factorization.

4966628920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The square root of 4966628920 is about 70474.3139023006. The cubic root of 4966628920 is about 1706.1632020859.

The spelling of 4966628920 in words is "four billion, nine hundred sixty-six million, six hundred twenty-eight thousand, nine hundred twenty".