5677548484608 has 2688 divisors, whose sum is σ = 23821468070400. Its totient is φ = 1304277811200.

The previous prime is 5677548484603. The next prime is 5677548484627. The reversal of 5677548484608 is 8064848457765.

5677548484608 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 5 + 4 + 8 + 4 + 8 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677548484603) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 43340064703 + ... + 43340064833.

It is an arithmetic number, because the mean of its divisors is an integer number (8862153300).

Almost surely, 2^{5677548484608} is an apocalyptic number.

5677548484608 is a gapful number since it is divisible by the number (58) 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 5677548484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910734035200).

5677548484608 is an abundant number, since it is smaller than the sum of its proper divisors (18143919585792).

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

5677548484608 is a wasteful number, since it uses less digits than its factorization.

5677548484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 5677548484608 in words is "five trillion, six hundred seventy-seven billion, five hundred forty-eight million, four hundred eighty-four thousand, six hundred eight".