4649779200 has 432 divisors, whose sum is σ = 17163026496. Its totient is φ = 1101004800.

The previous prime is 4649779193. The next prime is 4649779223. The reversal of 4649779200 is 29779464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4649779200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108134379 + ... + 108134421.

It is an arithmetic number, because the mean of its divisors is an integer number (39729228).

Almost surely, 2^4649779200 is an apocalyptic number.

4649779200 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 4649779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581513248).

4649779200 is an abundant number, since it is smaller than the sum of its proper divisors (12513247296).

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

4649779200 is an equidigital number, since it uses as much as digits as its factorization.

4649779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 4649779200 is about 68189.2894815601. The cubic root of 4649779200 is about 1669.0811156837.

The spelling of 4649779200 in words is "four billion, six hundred forty-nine million, seven hundred seventy-nine thousand, two hundred".