5004766800 has 360 divisors, whose sum is σ = 19357153920. Its totient is φ = 1187020800.

The previous prime is 5004766787. The next prime is 5004766813. The reversal of 5004766800 is 86674005.

It is a happy number.

5004766800 is a `hidden beast` number, since 500 + 4 + 76 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5004766787) and next prime (5004766813).

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1859856 + ... + 1862544.

It is an arithmetic number, because the mean of its divisors is an integer number (53769872).

Almost surely, 2^5004766800 is an apocalyptic number.

5004766800 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 5004766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678576960).

5004766800 is an abundant number, since it is smaller than the sum of its proper divisors (14352387120).

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

5004766800 is a wasteful number, since it uses less digits than its factorization.

5004766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5004766800 is about 70744.3764549522. The cubic root of 5004766800 is about 1710.5191816366.

The spelling of 5004766800 in words is "five billion, four million, seven hundred sixty-six thousand, eight hundred".