4799435760 has 640 divisors, whose sum is σ = 20301557760. Its totient is φ = 1018220544.

The previous prime is 4799435681. The next prime is 4799435761. The reversal of 4799435760 is 675349974.

It is a happy number.

It is a super-2 number, since 2×4799435760² = 46069167228733555200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4799435697 and 4799435706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4799435761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12866934 + ... + 12867306.

It is an arithmetic number, because the mean of its divisors is an integer number (31721184).

Almost surely, 2^4799435760 is an apocalyptic number.

4799435760 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 4799435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150778880).

4799435760 is an abundant number, since it is smaller than the sum of its proper divisors (15502122000).

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

4799435760 is a wasteful number, since it uses less digits than its factorization.

4799435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 4799435760 is about 69277.9601316321. The cubic root of 4799435760 is about 1686.7992310069.

The spelling of 4799435760 in words is "four billion, seven hundred ninety-nine million, four hundred thirty-five thousand, seven hundred sixty".