6998445066240 has 384 divisors, whose sum is σ = 24914380982400. Its totient is φ = 1863469301760.

The previous prime is 6998445066181. The next prime is 6998445066293. The reversal of 6998445066240 is 426605448996.

6998445066240 is a `hidden beast` number, since 6 + 9 + 9 + 84 + 4 + 506 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188817310 + ... + 188854370.

It is an arithmetic number, because the mean of its divisors is an integer number (64881200475).

Almost surely, 2^{6998445066240} is an apocalyptic number.

6998445066240 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 6998445066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457190491200).

6998445066240 is an abundant number, since it is smaller than the sum of its proper divisors (17915935916160).

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

6998445066240 is a wasteful number, since it uses less digits than its factorization.

6998445066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37780 (or 37754 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 6998445066240 in words is "six trillion, nine hundred ninety-eight billion, four hundred forty-five million, sixty-six thousand, two hundred forty".