6997885440 has 1280 divisors, whose sum is σ = 31677972480. Its totient is φ = 1274019840.

The previous prime is 6997885439. The next prime is 6997885441. The reversal of 6997885440 is 445887996.

It is an interprime number because it is at equal distance from previous prime (6997885439) and next prime (6997885441).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (6997885441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225738225 + ... + 225738255.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^6997885440 is an apocalyptic number.

6997885440 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 6997885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838986240).

6997885440 is an abundant number, since it is smaller than the sum of its proper divisors (24680087040).

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

6997885440 is a wasteful number, since it uses less digits than its factorization.

6997885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The square root of 6997885440 is about 83653.3647858829. The cubic root of 6997885440 is about 1912.7385439564.

The spelling of 6997885440 in words is "six billion, nine hundred ninety-seven million, eight hundred eighty-five thousand, four hundred forty".