4791600000 has 576 divisors, whose sum is σ = 18956442960. Its totient is φ = 1161600000.

The previous prime is 4791599993. The next prime is 4791600019. The reversal of 4791600000 is 61974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435599995 + ... + 435600005.

Almost surely, 2^4791600000 is an apocalyptic number.

4791600000 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 4791600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478221480).

4791600000 is an abundant number, since it is smaller than the sum of its proper divisors (14164842960).

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

4791600000 is an frugal number, since it uses more digits than its factorization.

4791600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

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

The square root of 4791600000 is about 69221.3839792300. The cubic root of 4791600000 is about 1685.8807512658.

Adding to 4791600000 its reverse (61974), we get a palindrome (4791661974).

The spelling of 4791600000 in words is "four billion, seven hundred ninety-one million, six hundred thousand".