6316056000 has 672 divisors, whose sum is σ = 24758660160. Its totient is φ = 1595635200.

The previous prime is 6316055947. The next prime is 6316056001. The reversal of 6316056000 is 6506136.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6316056001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332423991 + ... + 332424009.

Almost surely, 2^6316056000 is an apocalyptic number.

6316056000 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 6316056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12379330080).

6316056000 is an abundant number, since it is smaller than the sum of its proper divisors (18442604160).

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

6316056000 is an frugal number, since it uses more digits than its factorization.

6316056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6316056000 is about 79473.6182641762. The cubic root of 6316056000 is about 1848.4824174853.

The spelling of 6316056000 in words is "six billion, three hundred sixteen million, fifty-six thousand".