5669746767360 has 1440 divisors, whose sum is σ = 21892705705728. Its totient is φ = 1354999726080.

The previous prime is 5669746767331. The next prime is 5669746767413. The reversal of 5669746767360 is 637676479665.

5669746767360 is a `hidden beast` number, since 5 + 6 + 6 + 97 + 467 + 6 + 73 + 6 + 0 = 666.

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

It is a super-2 number, since 2×5669746767360² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26870837655 + ... + 26870837865.

Almost surely, 2^{5669746767360} 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 5669746767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946352852864).

5669746767360 is an abundant number, since it is smaller than the sum of its proper divisors (16222958938368).

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

5669746767360 is a wasteful number, since it uses less digits than its factorization.

5669746767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 72.

The spelling of 5669746767360 in words is "five trillion, six hundred sixty-nine billion, seven hundred forty-six million, seven hundred sixty-seven thousand, three hundred sixty".