4798936800 has 576 divisors, whose sum is σ = 21013655040. Its totient is φ = 1031823360.

The previous prime is 4798936759. The next prime is 4798936801. The reversal of 4798936800 is 86398974.

4798936800 is a `hidden beast` number, since 479 + 8 + 93 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4798936801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569467 + ... + 2571333.

It is an arithmetic number, because the mean of its divisors is an integer number (36482040).

Almost surely, 2^4798936800 is an apocalyptic number.

4798936800 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 4798936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506827520).

4798936800 is an abundant number, since it is smaller than the sum of its proper divisors (16214718240).

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

4798936800 is a wasteful number, since it uses less digits than its factorization.

4798936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4798936800 is about 69274.3588927389. The cubic root of 4798936800 is about 1686.7407745164.

The spelling of 4798936800 in words is "four billion, seven hundred ninety-eight million, nine hundred thirty-six thousand, eight hundred".