4772162304000 has 2688 divisors, whose sum is σ = 22052904531840. Its totient is φ = 1003290624000.

The previous prime is 4772162303981. The next prime is 4772162304001. The reversal of 4772162304000 is 4032612774.

4772162304000 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 16 + 230 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772162304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16982783860 + ... + 16982784140.

It is an arithmetic number, because the mean of its divisors is an integer number (8204205555).

Almost surely, 2^{4772162304000} is an apocalyptic number.

4772162304000 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 4772162304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026452265920).

4772162304000 is an abundant number, since it is smaller than the sum of its proper divisors (17280742227840).

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

4772162304000 is an equidigital number, since it uses as much as digits as its factorization.

4772162304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 4772162304000 its reverse (4032612774), we get a palindrome (4776194916774).

The spelling of 4772162304000 in words is "four trillion, seven hundred seventy-two billion, one hundred sixty-two million, three hundred four thousand".