6318972000 has 672 divisors, whose sum is σ = 25523001504. Its totient is φ = 1524096000.

The previous prime is 6318971983. The next prime is 6318972001. The reversal of 6318972000 is 2798136.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6318972001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32075902 + ... + 32076098.

It is an arithmetic number, because the mean of its divisors is an integer number (37980657).

Almost surely, 2^6318972000 is an apocalyptic number.

6318972000 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 6318972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761500752).

6318972000 is an abundant number, since it is smaller than the sum of its proper divisors (19204029504).

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

6318972000 is a wasteful number, since it uses less digits than its factorization.

6318972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6318972000 is about 79491.9618577879. The cubic root of 6318972000 is about 1848.7668431580.

The spelling of 6318972000 in words is "six billion, three hundred eighteen million, nine hundred seventy-two thousand".