4719876480 has 768 divisors, whose sum is σ = 19247155200. Its totient is φ = 1094860800.

The previous prime is 4719876463. The next prime is 4719876487. The reversal of 4719876480 is 846789174.

It is a happy number.

4719876480 is a `hidden beast` number, since 4 + 7 + 1 + 98 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4719876487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53032276 + ... + 53032364.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^4719876480 is an apocalyptic number.

4719876480 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 4719876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

4719876480 is an abundant number, since it is smaller than the sum of its proper divisors (14527278720).

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

4719876480 is a wasteful number, since it uses less digits than its factorization.

4719876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4719876480 is about 68701.3571918343. The cubic root of 4719876480 is about 1677.4266725824.

The spelling of 4719876480 in words is "four billion, seven hundred nineteen million, eight hundred seventy-six thousand, four hundred eighty".