47461527569664 has 576 divisors, whose sum is σ = 152151514663680. Its totient is φ = 14506963107840.

The previous prime is 47461527569639. The next prime is 47461527569669. The reversal of 47461527569664 is 46696572516474.

47461527569664 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 1 + 52 + 7 + 569 + 6 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47461527569592 and 47461527569601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47461527569669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8761586284 + ... + 8761591700.

It is an arithmetic number, because the mean of its divisors is an integer number (264151935180).

Almost surely, 2^{47461527569664} 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 47461527569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76075757331840).

47461527569664 is an abundant number, since it is smaller than the sum of its proper divisors (104689987094016).

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

47461527569664 is a wasteful number, since it uses less digits than its factorization.

47461527569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6063 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 47461527569664 in words is "forty-seven trillion, four hundred sixty-one billion, five hundred twenty-seven million, five hundred sixty-nine thousand, six hundred sixty-four".