47732786217216 has 576 divisors, whose sum is σ = 148189563728640. Its totient is φ = 15138938880000.

The previous prime is 47732786217197. The next prime is 47732786217241. The reversal of 47732786217216 is 61271268723774.

47732786217216 is a `hidden beast` number, since 4 + 7 + 7 + 327 + 86 + 2 + 17 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4242531591 + ... + 4242542841.

It is an arithmetic number, because the mean of its divisors is an integer number (257273548140).

Almost surely, 2^{47732786217216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47732786217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74094781864320).

47732786217216 is an abundant number, since it is smaller than the sum of its proper divisors (100456777511424).

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

47732786217216 is a wasteful number, since it uses less digits than its factorization.

47732786217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11679 (or 11659 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 47732786217216 in words is "forty-seven trillion, seven hundred thirty-two billion, seven hundred eighty-six million, two hundred seventeen thousand, two hundred sixteen".