4758976800 has 270 divisors, whose sum is σ = 17419340169. Its totient is φ = 1264377600.

The previous prime is 4758976697. The next prime is 4758976801. The reversal of 4758976800 is 86798574.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4758976800 is a `hidden beast` number, since 475 + 8 + 97 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4663797264 + 95179536 = 68292^2 + 9756^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=48780.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4758976801) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 17560665 + ... + 17560935.

It is a vampire number, since it can be written as 60975 ⋅ 78048 (with its own digits).

Almost surely, 2^4758976800 is an apocalyptic number.

4758976800 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 4758976800

4758976800 is an abundant number, since it is smaller than the sum of its proper divisors (12660363369).

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

4758976800 is an equidigital number, since it uses as much as digits as its factorization.

4758976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 4758976800 is about 68985.3375725596. The cubic root of 4758976800 is about 1682.0459766973.

The spelling of 4758976800 in words is "four billion, seven hundred fifty-eight million, nine hundred seventy-six thousand, eight hundred".