6312681900 has 216 divisors, whose sum is σ = 23343617024. Its totient is φ = 1396310400.

The previous prime is 6312681883. The next prime is 6312681953. The reversal of 6312681900 is 91862136.

6312681900 is a `hidden beast` number, since 631 + 2 + 6 + 8 + 19 + 0 + 0 = 666.

It is a super-2 number, since 2×6312681900² = 79699905541175220000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 179139 + ... + 211461.

Almost surely, 2^6312681900 is an apocalyptic number.

6312681900 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 6312681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671808512).

6312681900 is an abundant number, since it is smaller than the sum of its proper divisors (17030935124).

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

6312681900 is a wasteful number, since it uses less digits than its factorization.

6312681900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32381 (or 32371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6312681900 is about 79452.3876293218. The cubic root of 6312681900 is about 1848.1531996174.

The spelling of 6312681900 in words is "six billion, three hundred twelve million, six hundred eighty-one thousand, nine hundred".