6241959360 has 896 divisors, whose sum is σ = 28757514240. Its totient is φ = 1236860928.

The previous prime is 6241959359. The next prime is 6241959379. The reversal of 6241959360 is 639591426.

6241959360 is a `hidden beast` number, since 624 + 19 + 5 + 9 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13365847 + ... + 13366313.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^6241959360 is an apocalyptic number.

6241959360 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 6241959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

6241959360 is an abundant number, since it is smaller than the sum of its proper divisors (22515554880).

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

6241959360 is a wasteful number, since it uses less digits than its factorization.

6241959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6241959360 is about 79006.0716654106. The cubic root of 6241959360 is about 1841.2254911061.

The spelling of 6241959360 in words is "six billion, two hundred forty-one million, nine hundred fifty-nine thousand, three hundred sixty".