6118744320 has 288 divisors, whose sum is σ = 23384995200. Its totient is φ = 1506041856.

The previous prime is 6118744273. The next prime is 6118744361. The reversal of 6118744320 is 234478116.

6118744320 is a `hidden beast` number, since 611 + 8 + 7 + 4 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442471 + ... + 456089.

It is an arithmetic number, because the mean of its divisors is an integer number (81197900).

Almost surely, 2^6118744320 is an apocalyptic number.

6118744320 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 6118744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692497600).

6118744320 is an abundant number, since it is smaller than the sum of its proper divisors (17266250880).

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

6118744320 is a wasteful number, since it uses less digits than its factorization.

6118744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13662 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6118744320 is about 78222.4029290842. The cubic root of 6118744320 is about 1829.0297463516.

The spelling of 6118744320 in words is "six billion, one hundred eighteen million, seven hundred forty-four thousand, three hundred twenty".