4617920000 has 100 divisors (see below), whose sum is σ = 11530634016. Its totient is φ = 1847040000.

The previous prime is 4617919981. The next prime is 4617920003. The reversal of 4617920000 is 297164.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4617920003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 312785 + ... + 327215.

Almost surely, 2^4617920000 is an apocalyptic number.

4617920000 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 4617920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765317008).

4617920000 is an abundant number, since it is smaller than the sum of its proper divisors (6912714016).

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

4617920000 is an frugal number, since it uses more digits than its factorization.

4617920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14469 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 4617920000 is about 67955.2794122723. The cubic root of 4617920000 is about 1665.2603247664.

The spelling of 4617920000 in words is "four billion, six hundred seventeen million, nine hundred twenty thousand".