6861468120 has 128 divisors (see below), whose sum is σ = 22328006400. Its totient is φ = 1676772864.

The previous prime is 6861468109. The next prime is 6861468181. The reversal of 6861468120 is 218641686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201019 + ... + 232661.

It is an arithmetic number, because the mean of its divisors is an integer number (174437550).

Almost surely, 2^6861468120 is an apocalyptic number.

6861468120 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 6861468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164003200).

6861468120 is an abundant number, since it is smaller than the sum of its proper divisors (15466538280).

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

6861468120 is a wasteful number, since it uses less digits than its factorization.

6861468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31809 (or 31805 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 6861468120 is about 82833.9792597217. The cubic root of 6861468120 is about 1900.2278692538.

The spelling of 6861468120 in words is "six billion, eight hundred sixty-one million, four hundred sixty-eight thousand, one hundred twenty".