6996440160 has 288 divisors, whose sum is σ = 24465272832. Its totient is φ = 1820206080.

The previous prime is 6996440159. The next prime is 6996440161. The reversal of 6996440160 is 610446996.

6996440160 is a `hidden beast` number, since 69 + 96 + 440 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6996440159) and next prime (6996440161).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996440161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12252675 + ... + 12253245.

It is an arithmetic number, because the mean of its divisors is an integer number (84948864).

Almost surely, 2^6996440160 is an apocalyptic number.

6996440160 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 6996440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232636416).

6996440160 is an abundant number, since it is smaller than the sum of its proper divisors (17468832672).

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

6996440160 is a wasteful number, since it uses less digits than its factorization.

6996440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6996440160 is about 83644.7258349264. The cubic root of 6996440160 is about 1912.6068549806.

The spelling of 6996440160 in words is "six billion, nine hundred ninety-six million, four hundred forty thousand, one hundred sixty".