4966251264 has 504 divisors, whose sum is σ = 16889735520. Its totient is φ = 1445216256.

The previous prime is 4966251221. The next prime is 4966251313. The reversal of 4966251264 is 4621526694.

4966251264 is a `hidden beast` number, since 4 + 9 + 6 + 625 + 12 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55800532 + ... + 55800620.

It is an arithmetic number, because the mean of its divisors is an integer number (33511380).

Almost surely, 2^4966251264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444867760).

4966251264 is an abundant number, since it is smaller than the sum of its proper divisors (11923484256).

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

4966251264 is an equidigital number, since it uses as much as digits as its factorization.

4966251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 4966251264 is about 70471.6344638039. The cubic root of 4966251264 is about 1706.1199561799.

The spelling of 4966251264 in words is "four billion, nine hundred sixty-six million, two hundred fifty-one thousand, two hundred sixty-four".