6989124961728 has 896 divisors, whose sum is σ = 26685498470400. Its totient is φ = 1743251963904.

The previous prime is 6989124961717. The next prime is 6989124961739. The reversal of 6989124961728 is 8271694219896.

6989124961728 is a `hidden beast` number, since 6 + 98 + 9 + 12 + 496 + 17 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6989124961717) and next prime (6989124961739).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 127 ways as a sum of consecutive naturals, for example, 321875800 + ... + 321897512.

It is an arithmetic number, because the mean of its divisors is an integer number (29782922400).

Almost surely, 2^{6989124961728} 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 6989124961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342749235200).

6989124961728 is an abundant number, since it is smaller than the sum of its proper divisors (19696373508672).

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

6989124961728 is a wasteful number, since it uses less digits than its factorization.

6989124961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21850 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 6989124961728 in words is "six trillion, nine hundred eighty-nine billion, one hundred twenty-four million, nine hundred sixty-one thousand, seven hundred twenty-eight".