47688963840000 has 3360 divisors, whose sum is σ = 209737628100000. Its totient is φ = 10827177984000.

The previous prime is 47688963839989. The next prime is 47688963840017. The reversal of 47688963840000 is 4836988674.

47688963840000 is a `hidden beast` number, since 476 + 8 + 8 + 96 + 38 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a self number, because there is not a number n which added to its sum of digits gives 47688963840000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 320060159926 + ... + 320060160074.

It is an arithmetic number, because the mean of its divisors is an integer number (62421913125).

Almost surely, 2^{47688963840000} is an apocalyptic number.

47688963840000 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 47688963840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104868814050000).

47688963840000 is an abundant number, since it is smaller than the sum of its proper divisors (162048664260000).

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

47688963840000 is an frugal number, since it uses more digits than its factorization.

47688963840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 47688963840000 in words is "forty-seven trillion, six hundred eighty-eight billion, nine hundred sixty-three million, eight hundred forty thousand".