6861348000 has 672 divisors, whose sum is σ = 27370626192. Its totient is φ = 1679616000.

The previous prime is 6861347989. The next prime is 6861348029. The reversal of 6861348000 is 8431686.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 831514896 + 6029833104 = 28836^2 + 77652^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37907910 + ... + 37908090.

Almost surely, 2^6861348000 is an apocalyptic number.

6861348000 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 6861348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685313096).

6861348000 is an abundant number, since it is smaller than the sum of its proper divisors (20509278192).

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

6861348000 is a wasteful number, since it uses less digits than its factorization.

6861348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6861348000 is about 82833.2541917798. The cubic root of 6861348000 is about 1900.2167804363.

Adding to 6861348000 its reverse (8431686), we get a palindrome (6869779686).

The spelling of 6861348000 in words is "six billion, eight hundred sixty-one million, three hundred forty-eight thousand".