6241872000 has 512 divisors, whose sum is σ = 25484659200. Its totient is φ = 1316044800.

The previous prime is 6241871981. The next prime is 6241872017. The reversal of 6241872000 is 2781426.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367286 + ... + 4368714.

It is an arithmetic number, because the mean of its divisors is an integer number (49774725).

Almost surely, 2^6241872000 is an apocalyptic number.

6241872000 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 6241872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742329600).

6241872000 is an abundant number, since it is smaller than the sum of its proper divisors (19242787200).

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

6241872000 is a wasteful number, since it uses less digits than its factorization.

6241872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6241872000 is about 79005.5187945754. The cubic root of 6241872000 is about 1841.2169013776.

The spelling of 6241872000 in words is "six billion, two hundred forty-one million, eight hundred seventy-two thousand".