5627766816000 has 1728 divisors, whose sum is σ = 24295217506560. Its totient is φ = 1279195545600.

The previous prime is 5627766815959. The next prime is 5627766816037. The reversal of 5627766816000 is 6186677265.

5627766816000 is a `hidden beast` number, since 5 + 6 + 27 + 7 + 6 + 6 + 8 + 1 + 600 + 0 = 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 (54).

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 191 ways as a sum of consecutive naturals, for example, 12997151784 + ... + 12997152216.

Almost surely, 2^{5627766816000} is an apocalyptic number.

5627766816000 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 5627766816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147608753280).

5627766816000 is an abundant number, since it is smaller than the sum of its proper divisors (18667450690560).

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

5627766816000 is a wasteful number, since it uses less digits than its factorization.

5627766816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5627766816000 in words is "five trillion, six hundred twenty-seven billion, seven hundred sixty-six million, eight hundred sixteen thousand".