4723920000 has 440 divisors, whose sum is σ = 17639755815. Its totient is φ = 1259712000.

The previous prime is 4723919957. The next prime is 4723920007. The reversal of 4723920000 is 293274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1092170304 + 3631749696 = 33048^2 + 60264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=48600.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4723920007) by changing a digit.

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 54 ways as a sum of consecutive naturals, for example, 944783998 + ... + 944784002.

Almost surely, 2^4723920000 is an apocalyptic number.

4723920000 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 4723920000

4723920000 is an abundant number, since it is smaller than the sum of its proper divisors (12915835815).

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

4723920000 is an frugal number, since it uses more digits than its factorization.

4723920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4723920000 is about 68730.7791313324. The cubic root of 4723920000 is about 1677.9055532151.

The spelling of 4723920000 in words is "four billion, seven hundred twenty-three million, nine hundred twenty thousand".