6998578560 has 192 divisors, whose sum is σ = 25439310000. Its totient is φ = 1768034304.

The previous prime is 6998578553. The next prime is 6998578571. The reversal of 6998578560 is 658758996.

6998578560 is a `hidden beast` number, since 6 + 9 + 9 + 8 + 578 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77466 + ... + 141414.

Almost surely, 2^6998578560 is an apocalyptic number.

6998578560 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 6998578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719655000).

6998578560 is an abundant number, since it is smaller than the sum of its proper divisors (18440731440).

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

6998578560 is a wasteful number, since it uses less digits than its factorization.

6998578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63993 (or 63978 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 6998578560 is about 83657.5074933505. The cubic root of 6998578560 is about 1912.8016922499.

The spelling of 6998578560 in words is "six billion, nine hundred ninety-eight million, five hundred seventy-eight thousand, five hundred sixty".