6997042080 has 288 divisors, whose sum is σ = 27354547584. Its totient is φ = 1595455488.

The previous prime is 6997042067. The next prime is 6997042081. The reversal of 6997042080 is 802407996.

It is a happy number.

6997042080 is a `hidden beast` number, since 69 + 97 + 0 + 420 + 80 = 666.

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 not an unprimeable number, because it can be changed into a prime (6997042081) 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 47 ways as a sum of consecutive naturals, for example, 7388167 + ... + 7389113.

It is an arithmetic number, because the mean of its divisors is an integer number (94981068).

Almost surely, 2^6997042080 is an apocalyptic number.

6997042080 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 6997042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677273792).

6997042080 is an abundant number, since it is smaller than the sum of its proper divisors (20357505504).

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

6997042080 is a wasteful number, since it uses less digits than its factorization.

6997042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6997042080 is about 83648.3238325790. The cubic root of 6997042080 is about 1912.6617020780.

The spelling of 6997042080 in words is "six billion, nine hundred ninety-seven million, forty-two thousand, eighty".