6998564160 has 672 divisors, whose sum is σ = 29298839040. Its totient is φ = 1567641600.

The previous prime is 6998564159. The next prime is 6998564161. The reversal of 6998564160 is 614658996.

It is a happy number.

6998564160 is a `hidden beast` number, since 69 + 9 + 8 + 564 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6998564159) and next prime (6998564161).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6998564097 and 6998564106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6998564161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25824825 + ... + 25825095.

Almost surely, 2^6998564160 is an apocalyptic number.

6998564160 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 6998564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649419520).

6998564160 is an abundant number, since it is smaller than the sum of its proper divisors (22300274880).

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

6998564160 is a wasteful number, since it uses less digits than its factorization.

6998564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6998564160 is about 83657.4214281076. The cubic root of 6998564160 is about 1912.8003803472.

The spelling of 6998564160 in words is "six billion, nine hundred ninety-eight million, five hundred sixty-four thousand, one hundred sixty".