4765802400 has 576 divisors, whose sum is σ = 18426320640. Its totient is φ = 1186099200.

The previous prime is 4765802383. The next prime is 4765802441. The reversal of 4765802400 is 42085674.

4765802400 is a `hidden beast` number, since 4 + 76 + 580 + 2 + 4 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 26330310 + ... + 26330490.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^4765802400 is an apocalyptic number.

4765802400 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 4765802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

4765802400 is an abundant number, since it is smaller than the sum of its proper divisors (13660518240).

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

4765802400 is a wasteful number, since it uses less digits than its factorization.

4765802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4765802400 is about 69034.7912287710. The cubic root of 4765802400 is about 1682.8497551129.

The spelling of 4765802400 in words is "four billion, seven hundred sixty-five million, eight hundred two thousand, four hundred".