6031872000 has 1248 divisors, whose sum is σ = 28704409344. Its totient is φ = 1179648000.

The previous prime is 6031871977. The next prime is 6031872001. The reversal of 6031872000 is 2781306.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6031872001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354815992 + ... + 354816008.

It is an arithmetic number, because the mean of its divisors is an integer number (23000328).

Almost surely, 2^6031872000 is an apocalyptic number.

6031872000 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 6031872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352204672).

6031872000 is an abundant number, since it is smaller than the sum of its proper divisors (22672537344).

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

6031872000 is a wasteful number, since it uses less digits than its factorization.

6031872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6031872000 is about 77665.1273094946. The cubic root of 6031872000 is about 1820.3324273025.

The spelling of 6031872000 in words is "six billion, thirty-one million, eight hundred seventy-two thousand".