6998866560 has 448 divisors, whose sum is σ = 28683118080. Its totient is φ = 1598994432.

The previous prime is 6998866541. The next prime is 6998866571. The reversal of 6998866560 is 656688996.

6998866560 is a `hidden beast` number, since 6 + 9 + 9 + 8 + 8 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 3264849 + ... + 3266991.

Almost surely, 2^6998866560 is an apocalyptic number.

6998866560 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 6998866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341559040).

6998866560 is an abundant number, since it is smaller than the sum of its proper divisors (21684251520).

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

6998866560 is an equidigital number, since it uses as much as digits as its factorization.

6998866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The square root of 6998866560 is about 83659.2287796152. The cubic root of 6998866560 is about 1912.8279299269.

The spelling of 6998866560 in words is "six billion, nine hundred ninety-eight million, eight hundred sixty-six thousand, five hundred sixty".