4846879900800 has 1536 divisors, whose sum is σ = 21527907840000. Its totient is φ = 1039626731520.

The previous prime is 4846879900799. The next prime is 4846879900843. The reversal of 4846879900800 is 80099786484.

4846879900800 is a `hidden beast` number, since 4 + 8 + 468 + 7 + 9 + 90 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6158678007 + ... + 6158678793.

It is an arithmetic number, because the mean of its divisors is an integer number (14015565000).

Almost surely, 2^{4846879900800} is an apocalyptic number.

4846879900800 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 4846879900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763953920000).

4846879900800 is an abundant number, since it is smaller than the sum of its proper divisors (16681027939200).

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

4846879900800 is a wasteful number, since it uses less digits than its factorization.

4846879900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4846879900800 in words is "four trillion, eight hundred forty-six billion, eight hundred seventy-nine million, nine hundred thousand, eight hundred".