5667545624832 has 1728 divisors, whose sum is σ = 21593273856000. Its totient is φ = 1452639412224.

The previous prime is 5667545624831. The next prime is 5667545624843. The reversal of 5667545624832 is 2384265457665.

5667545624832 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 545 + 6 + 2 + 4 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5667545624832.

It is not an unprimeable number, because it can be changed into a prime (5667545624831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28480128669 + ... + 28480128867.

Almost surely, 2^{5667545624832} is an apocalyptic number.

5667545624832 is a gapful number since it is divisible by the number (52) 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 5667545624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796636928000).

5667545624832 is an abundant number, since it is smaller than the sum of its proper divisors (15925728231168).

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

5667545624832 is an equidigital number, since it uses as much as digits as its factorization.

5667545624832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 267 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 5667545624832 in words is "five trillion, six hundred sixty-seven billion, five hundred forty-five million, six hundred twenty-four thousand, eight hundred thirty-two".