4720896000 has 384 divisors, whose sum is σ = 17478115200. Its totient is φ = 1257062400.

The previous prime is 4720895987. The next prime is 4720896001. The reversal of 4720896000 is 6980274.

4720896000 is a `hidden beast` number, since 47 + 2 + 0 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (4720896001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911659 + ... + 6912341.

It is an arithmetic number, because the mean of its divisors is an integer number (45515925).

Almost surely, 2^4720896000 is an apocalyptic number.

4720896000 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 4720896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739057600).

4720896000 is an abundant number, since it is smaller than the sum of its proper divisors (12757219200).

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

4720896000 is an equidigital number, since it uses as much as digits as its factorization.

4720896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4720896000 is about 68708.7767319431. The cubic root of 4720896000 is about 1677.5474417684.

The spelling of 4720896000 in words is "four billion, seven hundred twenty million, eight hundred ninety-six thousand".