4651879680000 has 2880 divisors, whose sum is σ = 20825622417600. Its totient is φ = 1021870080000.

The previous prime is 4651879679971. The next prime is 4651879680013. The reversal of 4651879680000 is 869781564.

4651879680000 is a `hidden beast` number, since 46 + 518 + 7 + 9 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69431039967 + ... + 69431040033.

It is an arithmetic number, because the mean of its divisors is an integer number (7231118895).

Almost surely, 2^{4651879680000} is an apocalyptic number.

4651879680000 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 4651879680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412811208800).

4651879680000 is an abundant number, since it is smaller than the sum of its proper divisors (16173742737600).

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

4651879680000 is an equidigital number, since it uses as much as digits as its factorization.

4651879680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4651879680000 in words is "four trillion, six hundred fifty-one billion, eight hundred seventy-nine million, six hundred eighty thousand".