4966375200 has 144 divisors (see below), whose sum is σ = 16188401376. Its totient is φ = 1322496000.

The previous prime is 4966375187. The next prime is 4966375213. The reversal of 4966375200 is 25736694.

It is an interprime number because it is at equal distance from previous prime (4966375187) and next prime (4966375213).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2881539 + ... + 2883261.

It is an arithmetic number, because the mean of its divisors is an integer number (112419454).

Almost surely, 2^4966375200 is an apocalyptic number.

4966375200 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 4966375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094200688).

4966375200 is an abundant number, since it is smaller than the sum of its proper divisors (11222026176).

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

4966375200 is a wasteful number, since it uses less digits than its factorization.

4966375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 4966375200 is about 70472.5137908390. The cubic root of 4966375200 is about 1706.1341485027.

The spelling of 4966375200 in words is "four billion, nine hundred sixty-six million, three hundred seventy-five thousand, two hundred".