6860275200 has 720 divisors, whose sum is σ = 27071231616. Its totient is φ = 1651507200.

The previous prime is 6860275199. The next prime is 6860275207. The reversal of 6860275200 is 25720686.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6860275207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60710344 + ... + 60710456.

Almost surely, 2^6860275200 is an apocalyptic number.

6860275200 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 6860275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535615808).

6860275200 is an abundant number, since it is smaller than the sum of its proper divisors (20210956416).

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

6860275200 is a wasteful number, since it uses less digits than its factorization.

6860275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6860275200 is about 82826.7782785254. The cubic root of 6860275200 is about 1900.1177397028.

Adding to 6860275200 its reverse (25720686), we get a palindrome (6885995886).

The spelling of 6860275200 in words is "six billion, eight hundred sixty million, two hundred seventy-five thousand, two hundred".