4973724000 has 1152 divisors, whose sum is σ = 22666355712. Its totient is φ = 1045094400.

The previous prime is 4973723933. The next prime is 4973724011. The reversal of 4973724000 is 4273794.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115667979 + ... + 115668021.

It is an arithmetic number, because the mean of its divisors is an integer number (19675656).

Almost surely, 2^4973724000 is an apocalyptic number.

4973724000 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 4973724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333177856).

4973724000 is an abundant number, since it is smaller than the sum of its proper divisors (17692631712).

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

4973724000 is a wasteful number, since it uses less digits than its factorization.

4973724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4973724000 is about 70524.6339940875. The cubic root of 4973724000 is about 1706.9752622581.

Adding to 4973724000 its reverse (4273794), we get a palindrome (4977997794).

It can be divided in two parts, 49737 and 24000, that added together give a palindrome (73737).

The spelling of 4973724000 in words is "four billion, nine hundred seventy-three million, seven hundred twenty-four thousand".