4799815680 has 448 divisors, whose sum is σ = 17325612288. Its totient is φ = 1124597760.

The previous prime is 4799815679. The next prime is 4799815693. The reversal of 4799815680 is 865189974.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4799815680.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 71639007 + ... + 71639073.

Almost surely, 2^4799815680 is an apocalyptic number.

4799815680 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 4799815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662806144).

4799815680 is an abundant number, since it is smaller than the sum of its proper divisors (12525796608).

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

4799815680 is a wasteful number, since it uses less digits than its factorization.

4799815680 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 4354560, while the sum is 57.

The square root of 4799815680 is about 69280.7020749646. The cubic root of 4799815680 is about 1686.8437384509.

The spelling of 4799815680 in words is "four billion, seven hundred ninety-nine million, eight hundred fifteen thousand, six hundred eighty".