47928784476672 has 720 divisors, whose sum is σ = 153139210103880. Its totient is φ = 14419722240000.

The previous prime is 47928784476641. The next prime is 47928784476679. The reversal of 47928784476672 is 27667448782974.

47928784476672 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 8 + 7 + 84 + 476 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47791006914816 + 137777561856 = 6913104^2 + 371184^2 .

It is a super-2 number, since 2×47928784476672² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47928784476591 and 47928784476600.

It is not an unprimeable number, because it can be changed into a prime (47928784476679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79748393172 + ... + 79748393772.

Almost surely, 2^{47928784476672} 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 47928784476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76569605051940).

47928784476672 is an abundant number, since it is smaller than the sum of its proper divisors (105210425627208).

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

47928784476672 is a wasteful number, since it uses less digits than its factorization.

47928784476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1407 counting only the distinct ones).

The product of its digits is 12745506816, while the sum is 81.

The spelling of 47928784476672 in words is "forty-seven trillion, nine hundred twenty-eight billion, seven hundred eighty-four million, four hundred seventy-six thousand, six hundred seventy-two".