4750516800 has 504 divisors, whose sum is σ = 18056656800. Its totient is φ = 1181122560.

The previous prime is 4750516789. The next prime is 4750516811. The reversal of 4750516800 is 86150574.

It is an interprime number because it is at equal distance from previous prime (4750516789) and next prime (4750516811).

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

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, 26539111 + ... + 26539289.

It is an arithmetic number, because the mean of its divisors is an integer number (35826700).

Almost surely, 2^4750516800 is an apocalyptic number.

4750516800 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 4750516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028328400).

4750516800 is an abundant number, since it is smaller than the sum of its proper divisors (13306140000).

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

4750516800 is a wasteful number, since it uses less digits than its factorization.

4750516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 4750516800 is about 68923.9929197373. The cubic root of 4750516800 is about 1681.0486650094.

The spelling of 4750516800 in words is "four billion, seven hundred fifty million, five hundred sixteen thousand, eight hundred".