6990445304640 has 672 divisors, whose sum is σ = 27682036462080. Its totient is φ = 1586044551168.

The previous prime is 6990445304569. The next prime is 6990445304701. The reversal of 6990445304640 is 464035440996.

6990445304640 is a `hidden beast` number, since 6 + 9 + 9 + 0 + 44 + 530 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4811042154 + ... + 4811043606.

It is an arithmetic number, because the mean of its divisors is an integer number (41193506640).

Almost surely, 2^{6990445304640} is an apocalyptic number.

6990445304640 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 6990445304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841018231040).

6990445304640 is an abundant number, since it is smaller than the sum of its proper divisors (20691591157440).

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

6990445304640 is a wasteful number, since it uses less digits than its factorization.

6990445304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6990445304640 in words is "six trillion, nine hundred ninety billion, four hundred forty-five million, three hundred four thousand, six hundred forty".