47768508496800 has 1440 divisors, whose sum is σ = 214602089087232. Its totient is φ = 10069275525120.

The previous prime is 47768508496757. The next prime is 47768508496829. The reversal of 47768508496800 is 869480586774.

47768508496800 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 8 + 50 + 8 + 496 + 80 + 0 = 666.

47768508496800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×47768508496800² (a number of 28 digits) contains 22 as substring.

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

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, 7683527292 + ... + 7683533508.

Almost surely, 2^{47768508496800} is an apocalyptic number.

47768508496800 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 47768508496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107301044543616).

47768508496800 is an abundant number, since it is smaller than the sum of its proper divisors (166833580590432).

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

47768508496800 is a wasteful number, since it uses less digits than its factorization.

47768508496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 47768508496800 in words is "forty-seven trillion, seven hundred sixty-eight billion, five hundred eight million, four hundred ninety-six thousand, eight hundred".