5624166776832 has 1024 divisors, whose sum is σ = 18496598400000. Its totient is φ = 1681960992768.

The previous prime is 5624166776807. The next prime is 5624166776897. The reversal of 5624166776832 is 2386776614265.

It is a happy number.

5624166776832 is a `hidden beast` number, since 5 + 62 + 416 + 6 + 77 + 68 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a self number, because there is not a number n which added to its sum of digits gives 5624166776832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40461631419 + ... + 40461631557.

It is an arithmetic number, because the mean of its divisors is an integer number (18063084375).

Almost surely, 2^{5624166776832} 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 5624166776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248299200000).

5624166776832 is an abundant number, since it is smaller than the sum of its proper divisors (12872431623168).

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

5624166776832 is a wasteful number, since it uses less digits than its factorization.

5624166776832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 275 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 5624166776832 in words is "five trillion, six hundred twenty-four billion, one hundred sixty-six million, seven hundred seventy-six thousand, eight hundred thirty-two".