4742819200 has 192 divisors, whose sum is σ = 13556632320. Its totient is φ = 1605888000.

The previous prime is 4742819189. The next prime is 4742819219. The reversal of 4742819200 is 29182474.

It is a self number, because there is not a number n which added to its sum of digits gives 4742819200.

It is a congruent number.

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, 1857925 + ... + 1860475.

It is an arithmetic number, because the mean of its divisors is an integer number (70607460).

Almost surely, 2^4742819200 is an apocalyptic number.

4742819200 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 4742819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778316160).

4742819200 is an abundant number, since it is smaller than the sum of its proper divisors (8813813120).

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

4742819200 is a wasteful number, since it uses less digits than its factorization.

4742819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 4742819200 is about 68868.1290583678. The cubic root of 4742819200 is about 1680.1401999399.

The spelling of 4742819200 in words is "four billion, seven hundred forty-two million, eight hundred nineteen thousand, two hundred".