4799001600 has 528 divisors, whose sum is σ = 18092859840. Its totient is φ = 1246003200.

The previous prime is 4799001583. The next prime is 4799001607. The reversal of 4799001600 is 61009974.

4799001600 is a `hidden beast` number, since 47 + 9 + 9 + 0 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4799001607) 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, 36633535 + ... + 36633665.

It is an arithmetic number, because the mean of its divisors is an integer number (34266780).

Almost surely, 2^4799001600 is an apocalyptic number.

4799001600 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 4799001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9046429920).

4799001600 is an abundant number, since it is smaller than the sum of its proper divisors (13293858240).

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

4799001600 is a wasteful number, since it uses less digits than its factorization.

4799001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4799001600 is about 69274.8265966794. The cubic root of 4799001600 is about 1686.7483664974.

The spelling of 4799001600 in words is "four billion, seven hundred ninety-nine million, one thousand, six hundred".