6998322240 has 1344 divisors, whose sum is σ = 32804868096. Its totient is φ = 1379524608.

The previous prime is 6998322223. The next prime is 6998322271. The reversal of 6998322240 is 422238996.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162751659 + ... + 162751701.

It is an arithmetic number, because the mean of its divisors is an integer number (24408384).

Almost surely, 2^6998322240 is an apocalyptic number.

6998322240 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 6998322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402434048).

6998322240 is an abundant number, since it is smaller than the sum of its proper divisors (25806545856).

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

6998322240 is a wasteful number, since it uses less digits than its factorization.

6998322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6998322240 is about 83655.9755187877. The cubic root of 6998322240 is about 1912.7783401120.

The spelling of 6998322240 in words is "six billion, nine hundred ninety-eight million, three hundred twenty-two thousand, two hundred forty".