4791192000 has 672 divisors, whose sum is σ = 19323832320. Its totient is φ = 1024358400.

The previous prime is 4791191987. The next prime is 4791192001. The reversal of 4791192000 is 2911974.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791192001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60647961 + ... + 60648039.

Almost surely, 2^4791192000 is an apocalyptic number.

4791192000 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 4791192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661916160).

4791192000 is an abundant number, since it is smaller than the sum of its proper divisors (14532640320).

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

4791192000 is a wasteful number, since it uses less digits than its factorization.

4791192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 4791192000 is about 69218.4368503074. The cubic root of 4791192000 is about 1685.8328995482.

The spelling of 4791192000 in words is "four billion, seven hundred ninety-one million, one hundred ninety-two thousand".