4836672000 has 480 divisors, whose sum is σ = 18124089984. Its totient is φ = 1285632000.

The previous prime is 4836671971. The next prime is 4836672007. The reversal of 4836672000 is 2766384.

It is a tau number, because it is divible by the number of its divisors (480).

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 (4836672007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15551845 + ... + 15552155.

Almost surely, 2^4836672000 is an apocalyptic number.

4836672000 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 4836672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062044992).

4836672000 is an abundant number, since it is smaller than the sum of its proper divisors (13287417984).

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

4836672000 is an frugal number, since it uses more digits than its factorization.

4836672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4836672000 is about 69546.1860924091. The cubic root of 4836672000 is about 1691.1503203281.

The spelling of 4836672000 in words is "four billion, eight hundred thirty-six million, six hundred seventy-two thousand".