4790616000 has 448 divisors, whose sum is σ = 16798040064. Its totient is φ = 1201152000.

The previous prime is 4790615987. The next prime is 4790616001. The reversal of 4790616000 is 6160974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4790616001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34967932 + ... + 34968068.

Almost surely, 2^4790616000 is an apocalyptic number.

4790616000 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 4790616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399020032).

4790616000 is an abundant number, since it is smaller than the sum of its proper divisors (12007424064).

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

4790616000 is a wasteful number, since it uses less digits than its factorization.

4790616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4790616000 is about 69214.2759840772. The cubic root of 4790616000 is about 1685.7653395572.

Adding to 4790616000 its reverse (6160974), we get a palindrome (4796776974).

The spelling of 4790616000 in words is "four billion, seven hundred ninety million, six hundred sixteen thousand".