6869568061440 has 2160 divisors, whose sum is σ = 30374404552800. Its totient is φ = 1476843798528.

The previous prime is 6869568061429. The next prime is 6869568061561. The reversal of 6869568061440 is 441608659686.

6869568061440 is a `hidden beast` number, since 6 + 8 + 6 + 9 + 5 + 6 + 8 + 0 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×6869568061440² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49421352891 + ... + 49421353029.

It is an arithmetic number, because the mean of its divisors is an integer number (14062224330).

Almost surely, 2^{6869568061440} is an apocalyptic number.

6869568061440 is a gapful number since it is divisible by the number (60) 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 6869568061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187202276400).

6869568061440 is an abundant number, since it is smaller than the sum of its proper divisors (23504836491360).

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

6869568061440 is an equidigital number, since it uses as much as digits as its factorization.

6869568061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6869568061440 in words is "six trillion, eight hundred sixty-nine billion, five hundred sixty-eight million, sixty-one thousand, four hundred forty".