5673895776000 has 1440 divisors, whose sum is σ = 21960566724096. Its totient is φ = 1453178880000.

The previous prime is 5673895775993. The next prime is 5673895776023. The reversal of 5673895776000 is 6775983765.

5673895776000 is a `hidden beast` number, since 56 + 7 + 3 + 8 + 9 + 577 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 19364831854 + ... + 19364832146.

Almost surely, 2^{5673895776000} is an apocalyptic number.

5673895776000 is a gapful number since it is divisible by the number (50) 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 5673895776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980283362048).

5673895776000 is an abundant number, since it is smaller than the sum of its proper divisors (16286670948096).

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

5673895776000 is a wasteful number, since it uses less digits than its factorization.

5673895776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 5673895776000 in words is "five trillion, six hundred seventy-three billion, eight hundred ninety-five million, seven hundred seventy-six thousand".