4799784460800 has 1440 divisors, whose sum is σ = 19843870375296. Its totient is φ = 998336102400.

The previous prime is 4799784460789. The next prime is 4799784460819. The reversal of 4799784460800 is 80644879974.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4391385054 + ... + 4391386146.

Almost surely, 2^{4799784460800} is an apocalyptic number.

4799784460800 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 4799784460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921935187648).

4799784460800 is an abundant number, since it is smaller than the sum of its proper divisors (15044085914496).

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

4799784460800 is a wasteful number, since it uses less digits than its factorization.

4799784460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 4799784460800 in words is "four trillion, seven hundred ninety-nine billion, seven hundred eighty-four million, four hundred sixty thousand, eight hundred".