47627884656 has 400 divisors, whose sum is σ = 158603563008. Its totient is φ = 13663987200.

The previous prime is 47627884651. The next prime is 47627884693. The reversal of 47627884656 is 65648872674.

47627884656 is a `hidden beast` number, since 4 + 76 + 27 + 88 + 465 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47627884593 and 47627884602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47627884651) 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 79 ways as a sum of consecutive naturals, for example, 20769846 + ... + 20772138.

Almost surely, 2^47627884656 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 47627884656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79301781504).

47627884656 is an abundant number, since it is smaller than the sum of its proper divisors (110975678352).

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

47627884656 is a wasteful number, since it uses less digits than its factorization.

47627884656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2387 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 47627884656 in words is "forty-seven billion, six hundred twenty-seven million, eight hundred eighty-four thousand, six hundred fifty-six".