4891729920 has 672 divisors, whose sum is σ = 20081101824. Its totient is φ = 994836480.

The previous prime is 4891729901. The next prime is 4891729933. The reversal of 4891729920 is 299271984.

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

It is a super-2 number, since 2×4891729920² = 47858043220446412800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104079337 + ... + 104079383.

It is an arithmetic number, because the mean of its divisors is an integer number (29882592).

Almost surely, 2^4891729920 is an apocalyptic number.

4891729920 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 4891729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040550912).

4891729920 is an abundant number, since it is smaller than the sum of its proper divisors (15189371904).

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

4891729920 is a wasteful number, since it uses less digits than its factorization.

4891729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 4891729920 is about 69940.9030539355. The cubic root of 4891729920 is about 1697.5431546454.

The spelling of 4891729920 in words is "four billion, eight hundred ninety-one million, seven hundred twenty-nine thousand, nine hundred twenty".