4849072000 has 128 divisors (see below), whose sum is σ = 12383354880. Its totient is φ = 1886976000.

The previous prime is 4849071973. The next prime is 4849072051. The reversal of 4849072000 is 2709484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4849072000² = 47026998522368000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 587905 + ... + 596095.

It is an arithmetic number, because the mean of its divisors is an integer number (96744960).

Almost surely, 2^4849072000 is an apocalyptic number.

4849072000 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 4849072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191677440).

4849072000 is an abundant number, since it is smaller than the sum of its proper divisors (7534282880).

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

4849072000 is an equidigital number, since it uses as much as digits as its factorization.

4849072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4849072000 is about 69635.2784154698. The cubic root of 4849072000 is about 1692.5943138179.

The spelling of 4849072000 in words is "four billion, eight hundred forty-nine million, seventy-two thousand".