6860016120 has 384 divisors, whose sum is σ = 23872320000. Its totient is φ = 1570480128.

The previous prime is 6860016073. The next prime is 6860016127. The reversal of 6860016120 is 216100686.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6860016127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19108501 + ... + 19108859.

It is an arithmetic number, because the mean of its divisors is an integer number (62167500).

Almost surely, 2^6860016120 is an apocalyptic number.

6860016120 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 6860016120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11936160000).

6860016120 is an abundant number, since it is smaller than the sum of its proper divisors (17012303880).

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

6860016120 is a wasteful number, since it uses less digits than its factorization.

6860016120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6860016120 is about 82825.2142768131. The cubic root of 6860016120 is about 1900.0938199286.

The spelling of 6860016120 in words is "six billion, eight hundred sixty million, sixteen thousand, one hundred twenty".