5579476645824 has 336 divisors, whose sum is σ = 16513492195200. Its totient is φ = 1800524464128.

The previous prime is 5579476645777. The next prime is 5579476645999. The reversal of 5579476645824 is 4285466749755.

5579476645824 is a `hidden beast` number, since 5 + 5 + 7 + 94 + 7 + 66 + 458 + 24 = 666.

It is a super-2 number, since 2×5579476645824² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 481107994 + ... + 481119590.

It is an arithmetic number, because the mean of its divisors is an integer number (49147298200).

Almost surely, 2^{5579476645824} 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 5579476645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256746097600).

5579476645824 is an abundant number, since it is smaller than the sum of its proper divisors (10934015549376).

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

5579476645824 is a wasteful number, since it uses less digits than its factorization.

5579476645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900 (or 11887 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 5579476645824 in words is "five trillion, five hundred seventy-nine billion, four hundred seventy-six million, six hundred forty-five thousand, eight hundred twenty-four".