4749628723200 has 936 divisors, whose sum is σ = 17853774606720. Its totient is φ = 1205187379200.

The previous prime is 4749628723067. The next prime is 4749628723219. The reversal of 4749628723200 is 23278269474.

4749628723200 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 628 + 7 + 2 + 3 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897573149 + ... + 1897575651.

It is an arithmetic number, because the mean of its divisors is an integer number (19074545520).

Almost surely, 2^{4749628723200} is an apocalyptic number.

4749628723200 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 4749628723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926887303360).

4749628723200 is an abundant number, since it is smaller than the sum of its proper divisors (13104145883520).

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

4749628723200 is a wasteful number, since it uses less digits than its factorization.

4749628723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4749628723200 in words is "four trillion, seven hundred forty-nine billion, six hundred twenty-eight million, seven hundred twenty-three thousand, two hundred".