47211667776 has 1260 divisors, whose sum is σ = 192257213148. Its totient is φ = 11314888704.

The previous prime is 47211667729. The next prime is 47211667817. The reversal of 47211667776 is 67776611274.

It is a happy number.

47211667776 is a `hidden beast` number, since 472 + 1 + 166 + 7 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25401600 + 47186266176 = 5040^2 + 217224^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4148928) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1627988530 + ... + 1627988558.

Almost surely, 2^47211667776 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 47211667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96128606574).

47211667776 is an abundant number, since it is smaller than the sum of its proper divisors (145045545372).

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

47211667776 is a wasteful number, since it uses less digits than its factorization.

47211667776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The spelling of 47211667776 in words is "forty-seven billion, two hundred eleven million, six hundred sixty-seven thousand, seven hundred seventy-six".