6968417820 has 192 divisors, whose sum is σ = 24067169280. Its totient is φ = 1467021312.

The previous prime is 6968417809. The next prime is 6968417821. The reversal of 6968417820 is 287148696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968417821) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3105619 + ... + 3107861.

It is an arithmetic number, because the mean of its divisors is an integer number (125349840).

Almost surely, 2^6968417820 is an apocalyptic number.

6968417820 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 6968417820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033584640).

6968417820 is an abundant number, since it is smaller than the sum of its proper divisors (17098751460).

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

6968417820 is a wasteful number, since it uses less digits than its factorization.

6968417820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 6968417820 is about 83477.0496603707. The cubic root of 6968417820 is about 1910.0499626012.

The spelling of 6968417820 in words is "six billion, nine hundred sixty-eight million, four hundred seventeen thousand, eight hundred twenty".