4719928320 has 440 divisors, whose sum is σ = 17833464000. Its totient is φ = 1190412288.

The previous prime is 4719928289. The next prime is 4719928327. The reversal of 4719928320 is 238299174.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4719928327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879381 + ... + 7879979.

It is an arithmetic number, because the mean of its divisors is an integer number (40530600).

Almost surely, 2^4719928320 is an apocalyptic number.

4719928320 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 4719928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916732000).

4719928320 is an abundant number, since it is smaller than the sum of its proper divisors (13113535680).

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

4719928320 is a wasteful number, since it uses less digits than its factorization.

4719928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4719928320 is about 68701.7344759213. The cubic root of 4719928320 is about 1677.4328138082.

The spelling of 4719928320 in words is "four billion, seven hundred nineteen million, nine hundred twenty-eight thousand, three hundred twenty".