4799793600 has 504 divisors, whose sum is σ = 20650919328. Its totient is φ = 1032192000.

The previous prime is 4799793563. The next prime is 4799793629. The reversal of 4799793600 is 63979974.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1712200 + ... + 1715000.

Almost surely, 2^4799793600 is an apocalyptic number.

4799793600 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 4799793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325459664).

4799793600 is an abundant number, since it is smaller than the sum of its proper divisors (15851125728).

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

4799793600 is a wasteful number, since it uses less digits than its factorization.

4799793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 4799793600 is about 69280.5427230474. The cubic root of 4799793600 is about 1686.8411518539.

The spelling of 4799793600 in words is "four billion, seven hundred ninety-nine million, seven hundred ninety-three thousand, six hundred".