5476544633664 has 560 divisors, whose sum is σ = 17810653701456. Its totient is φ = 1653637939200.

The previous prime is 5476544633639. The next prime is 5476544633669. The reversal of 5476544633664 is 4663364456745.

5476544633664 is a `hidden beast` number, since 5 + 47 + 65 + 446 + 3 + 36 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1969194758400 + 3507349875264 = 1403280^2 + 1872792^2 .

It is a super-2 number, since 2×5476544633664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5476544633669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2141783874 + ... + 2141786430.

Almost surely, 2^{5476544633664} is an apocalyptic number.

5476544633664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5476544633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905326850728).

5476544633664 is an abundant number, since it is smaller than the sum of its proper divisors (12334109067792).

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

5476544633664 is a wasteful number, since it uses less digits than its factorization.

5476544633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3157 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 63.

The spelling of 5476544633664 in words is "five trillion, four hundred seventy-six billion, five hundred forty-four million, six hundred thirty-three thousand, six hundred sixty-four".