6842959643520 has 2048 divisors, whose sum is σ = 33337059840000. Its totient is φ = 1280389939200.

The previous prime is 6842959643489. The next prime is 6842959643537. The reversal of 6842959643520 is 253469592486.

It is a happy number.

6842959643520 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 9 + 596 + 4 + 35 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 709183656 + ... + 709193304.

It is an arithmetic number, because the mean of its divisors is an integer number (16277861250).

Almost surely, 2^{6842959643520} is an apocalyptic number.

6842959643520 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 6842959643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668529920000).

6842959643520 is an abundant number, since it is smaller than the sum of its proper divisors (26494100196480).

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

6842959643520 is a wasteful number, since it uses less digits than its factorization.

6842959643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 6842959643520 in words is "six trillion, eight hundred forty-two billion, nine hundred fifty-nine million, six hundred forty-three thousand, five hundred twenty".