47527464733056 has 576 divisors, whose sum is σ = 172074546352800. Its totient is φ = 12325375180800.

The previous prime is 47527464733033. The next prime is 47527464733087. The reversal of 47527464733056 is 65033746472574.

47527464733056 is a `hidden beast` number, since 4 + 7 + 5 + 27 + 464 + 73 + 30 + 56 = 666.

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

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 47527464732984 and 47527464733002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625413910 + ... + 625489898.

Almost surely, 2^{47527464733056} 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 47527464733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86037273176400).

47527464733056 is an abundant number, since it is smaller than the sum of its proper divisors (124547081619744).

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

47527464733056 is a wasteful number, since it uses less digits than its factorization.

47527464733056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76679 (or 76653 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 63.

The spelling of 47527464733056 in words is "forty-seven trillion, five hundred twenty-seven billion, four hundred sixty-four million, seven hundred thirty-three thousand, fifty-six".