4739779800 has 480 divisors, whose sum is σ = 19220124000. Its totient is φ = 1082108160.

The previous prime is 4739779799. The next prime is 4739779841. The reversal of 4739779800 is 89779374.

4739779800 is a `hidden beast` number, since 473 + 97 + 7 + 9 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5556174 + ... + 5557026.

It is an arithmetic number, because the mean of its divisors is an integer number (40041925).

Almost surely, 2^4739779800 is an apocalyptic number.

4739779800 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 4739779800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610062000).

4739779800 is an abundant number, since it is smaller than the sum of its proper divisors (14480344200).

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

4739779800 is a wasteful number, since it uses less digits than its factorization.

4739779800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 4739779800 is about 68846.0587107207. The cubic root of 4739779800 is about 1679.7812215107.

The spelling of 4739779800 in words is "four billion, seven hundred thirty-nine million, seven hundred seventy-nine thousand, eight hundred".