6241449600 has 768 divisors, whose sum is σ = 24587712000. Its totient is φ = 1543127040.

The previous prime is 6241449587. The next prime is 6241449601. The reversal of 6241449600 is 69441426.

6241449600 is a `hidden beast` number, since 6 + 2 + 4 + 1 + 4 + 49 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6241449601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117763174 + ... + 117763226.

It is an arithmetic number, because the mean of its divisors is an integer number (32015250).

Almost surely, 2^6241449600 is an apocalyptic number.

6241449600 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 6241449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293856000).

6241449600 is an abundant number, since it is smaller than the sum of its proper divisors (18346262400).

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

6241449600 is a wasteful number, since it uses less digits than its factorization.

6241449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6241449600 is about 79002.8455183736. The cubic root of 6241449600 is about 1841.1753674935.

The spelling of 6241449600 in words is "six billion, two hundred forty-one million, four hundred forty-nine thousand, six hundred".