6993448560 has 360 divisors, whose sum is σ = 28761529680. Its totient is φ = 1514225664.

The previous prime is 6993448537. The next prime is 6993448681. The reversal of 6993448560 is 658443996.

6993448560 is a `hidden beast` number, since 6 + 9 + 9 + 34 + 48 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6993448560² = 97816645522732147200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6993448497 and 6993448506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 665104 + ... + 675536.

It is an arithmetic number, because the mean of its divisors is an integer number (79893138).

Almost surely, 2^6993448560 is an apocalyptic number.

6993448560 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 6993448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380764840).

6993448560 is an abundant number, since it is smaller than the sum of its proper divisors (21768081120).

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

6993448560 is a wasteful number, since it uses less digits than its factorization.

6993448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6993448560 is about 83626.8411456513. The cubic root of 6993448560 is about 1912.3342129775.

The spelling of 6993448560 in words is "six billion, nine hundred ninety-three million, four hundred forty-eight thousand, five hundred sixty".