5024779200 has 504 divisors, whose sum is σ = 20701690880. Its totient is φ = 1132185600.

The previous prime is 5024779153. The next prime is 5024779219. The reversal of 5024779200 is 29774205.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 7962885 + ... + 7963515.

Almost surely, 2^5024779200 is an apocalyptic number.

5024779200 is a gapful number since it is divisible by the number (50) 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 5024779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350845440).

5024779200 is an abundant number, since it is smaller than the sum of its proper divisors (15676911680).

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

5024779200 is a wasteful number, since it uses less digits than its factorization.

5024779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5024779200 is about 70885.6769735607. The cubic root of 5024779200 is about 1712.7960821465.

The spelling of 5024779200 in words is "five billion, twenty-four million, seven hundred seventy-nine thousand, two hundred".