4966769664 has 220 divisors, whose sum is σ = 14953359564. Its totient is φ = 1642070016.

The previous prime is 4966769663. The next prime is 4966769671. The reversal of 4966769664 is 4669676694.

It can be written as a sum of positive squares in 2 ways, for example, as 3317760000 + 1649009664 = 57600^2 + 40608^2 .

It is not an unprimeable number, because it can be changed into a prime (4966769663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19325824 + ... + 19326080.

Almost surely, 2^4966769664 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 4966769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476679782).

4966769664 is an abundant number, since it is smaller than the sum of its proper divisors (9986589900).

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

4966769664 is a wasteful number, since it uses less digits than its factorization.

4966769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The square root of 4966769664 is about 70475.3124434365. The cubic root of 4966769664 is about 1706.1793183134.

The spelling of 4966769664 in words is "four billion, nine hundred sixty-six million, seven hundred sixty-nine thousand, six hundred sixty-four".