6312312006 has 256 divisors, whose sum is σ = 17563392000. Its totient is φ = 1490227200.

The previous prime is 6312311987. The next prime is 6312312037. The reversal of 6312312006 is 6002132136.

It is a happy number.

It is a super-2 number, since 2×6312312006² = 79690565722183488072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26192046 + ... + 26192286.

It is an arithmetic number, because the mean of its divisors is an integer number (68607000).

Almost surely, 2^6312312006 is an apocalyptic number.

6312312006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312312006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696000).

6312312006 is an abundant number, since it is smaller than the sum of its proper divisors (11251079994).

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

6312312006 is a wasteful number, since it uses less digits than its factorization.

6312312006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6312312006 is about 79450.0598237660. The cubic root of 6312312006 is about 1848.1171011654.

The spelling of 6312312006 in words is "six billion, three hundred twelve million, three hundred twelve thousand, six".