4891752000 has 280 divisors, whose sum is σ = 18099252600. Its totient is φ = 1304294400.

The previous prime is 4891751999. The next prime is 4891752007. The reversal of 4891752000 is 2571984.

4891752000 is a `hidden beast` number, since 48 + 91 + 7 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 4887687744 = 2016^2 + 69912^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4891752007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644226 + ... + 651774.

Almost surely, 2^4891752000 is an apocalyptic number.

4891752000 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 4891752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049626300).

4891752000 is an abundant number, since it is smaller than the sum of its proper divisors (13207500600).

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

4891752000 is an equidigital number, since it uses as much as digits as its factorization.

4891752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4891752000 is about 69941.0609013046. The cubic root of 4891752000 is about 1697.5457087314.

The spelling of 4891752000 in words is "four billion, eight hundred ninety-one million, seven hundred fifty-two thousand".