6990418873152 has 336 divisors, whose sum is σ = 23545554282432. Its totient is φ = 1954876170240.

The previous prime is 6990418873147. The next prime is 6990418873157. The reversal of 6990418873152 is 2513788140996.

6990418873152 is a `hidden beast` number, since 6 + 9 + 90 + 418 + 87 + 3 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (6990418873147) and next prime (6990418873157).

It is a self number, because there is not a number n which added to its sum of digits gives 6990418873152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990418873157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446179623 + ... + 446195289.

It is an arithmetic number, because the mean of its divisors is an integer number (70076054412).

It is a 1-persistent number, because it is pandigital, but 2⋅6990418873152 = 13980837746304 is not.

Almost surely, 2^{6990418873152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990418873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772777141216).

6990418873152 is an abundant number, since it is smaller than the sum of its proper divisors (16555135409280).

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

6990418873152 is a wasteful number, since it uses less digits than its factorization.

6990418873152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21126 (or 21113 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 6990418873152 in words is "six trillion, nine hundred ninety billion, four hundred eighteen million, eight hundred seventy-three thousand, one hundred fifty-two".