4796189798400 has 2496 divisors, whose sum is σ = 23670474992640. Its totient is φ = 919417651200.

The previous prime is 4796189798377. The next prime is 4796189798447. The reversal of 4796189798400 is 48979816974.

4796189798400 is a `hidden beast` number, since 4 + 79 + 6 + 1 + 89 + 79 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2767563934 + ... + 2767565666.

Almost surely, 2^{4796189798400} is an apocalyptic number.

4796189798400 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 4796189798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835237496320).

4796189798400 is an abundant number, since it is smaller than the sum of its proper divisors (18874285194240).

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

4796189798400 is a wasteful number, since it uses less digits than its factorization.

4796189798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 4796189798400 in words is "four trillion, seven hundred ninety-six billion, one hundred eighty-nine million, seven hundred ninety-eight thousand, four hundred".