6506112000 has 176 divisors, whose sum is σ = 21643045632. Its totient is φ = 1734860800.

The previous prime is 6506111999. The next prime is 6506112001. The reversal of 6506112000 is 2116056.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6506111999) and next prime (6506112001).

It is not an unprimeable number, because it can be changed into a prime (6506112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375529 + ... + 392471.

Almost surely, 2^6506112000 is an apocalyptic number.

6506112000 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 6506112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821522816).

6506112000 is an abundant number, since it is smaller than the sum of its proper divisors (15136933632).

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

6506112000 is a wasteful number, since it uses less digits than its factorization.

6506112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16981 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6506112000 is about 80660.4735914686. The cubic root of 6506112000 is about 1866.8403466516.

Adding to 6506112000 its reverse (2116056), we get a palindrome (6508228056).

The spelling of 6506112000 in words is "six billion, five hundred six million, one hundred twelve thousand".