47636281775360 has 144 divisors (see below), whose sum is σ = 120947283475200. Its totient is φ = 17914137182208.

The previous prime is 47636281775359. The next prime is 47636281775413. The reversal of 47636281775360 is 6357718263674.

It is a happy number.

47636281775360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×47636281775360³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18806381 + ... + 21188499.

It is an arithmetic number, because the mean of its divisors is an integer number (839911690800).

Almost surely, 2^{47636281775360} is an apocalyptic number.

47636281775360 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 47636281775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60473641737600).

47636281775360 is an abundant number, since it is smaller than the sum of its proper divisors (73311001699840).

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

47636281775360 is a wasteful number, since it uses less digits than its factorization.

47636281775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383076 (or 2383062 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 65.

The spelling of 47636281775360 in words is "forty-seven trillion, six hundred thirty-six billion, two hundred eighty-one million, seven hundred seventy-five thousand, three hundred sixty".