4719132000 has 576 divisors, whose sum is σ = 19373110848. Its totient is φ = 1075200000.

The previous prime is 4719131999. The next prime is 4719132007. The reversal of 4719132000 is 2319174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4719132007) 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 95 ways as a sum of consecutive naturals, for example, 6731650 + ... + 6732350.

It is an arithmetic number, because the mean of its divisors is an integer number (33633873).

Almost surely, 2^4719132000 is an apocalyptic number.

4719132000 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 4719132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686555424).

4719132000 is an abundant number, since it is smaller than the sum of its proper divisors (14653978848).

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

4719132000 is a wasteful number, since it uses less digits than its factorization.

4719132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4719132000 is about 68695.9387445866. The cubic root of 4719132000 is about 1677.3384727973.

The spelling of 4719132000 in words is "four billion, seven hundred nineteen million, one hundred thirty-two thousand".