4966968006 has 192 divisors, whose sum is σ = 15085647360. Its totient is φ = 1190790720.

The previous prime is 4966967983. The next prime is 4966968029. The reversal of 4966968006 is 6008696694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4966967983) and next prime (4966968029).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371815 + ... + 384941.

It is an arithmetic number, because the mean of its divisors is an integer number (78571080).

Almost surely, 2^4966968006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966968006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542823680).

4966968006 is an abundant number, since it is smaller than the sum of its proper divisors (10118679354).

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

4966968006 is a wasteful number, since it uses less digits than its factorization.

4966968006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 4966968006 is about 70476.7196030008. The cubic root of 4966968006 is about 1706.2020294206.

The spelling of 4966968006 in words is "four billion, nine hundred sixty-six million, nine hundred sixty-eight thousand, six".