4796520480 has 288 divisors, whose sum is σ = 16791255936. Its totient is φ = 1246482432.

The previous prime is 4796520479. The next prime is 4796520503. The reversal of 4796520480 is 840256974.

It is a happy number.

4796520480 is a `hidden beast` number, since 47 + 9 + 6 + 520 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10827139 + ... + 10827581.

It is an arithmetic number, because the mean of its divisors is an integer number (58302972).

Almost surely, 2^4796520480 is an apocalyptic number.

4796520480 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 4796520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395627968).

4796520480 is an abundant number, since it is smaller than the sum of its proper divisors (11994735456).

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

4796520480 is a wasteful number, since it uses less digits than its factorization.

4796520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4796520480 is about 69256.9164777064. The cubic root of 4796520480 is about 1686.4576291807.

The spelling of 4796520480 in words is "four billion, seven hundred ninety-six million, five hundred twenty thousand, four hundred eighty".