6084738240 has 224 divisors, whose sum is σ = 22840980480. Its totient is φ = 1342795776.

The previous prime is 6084738221. The next prime is 6084738259. The reversal of 6084738240 is 428374806.

It is an interprime number because it is at equal distance from previous prime (6084738221) and next prime (6084738259).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6084738192 and 6084738201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179269 + ... + 210491.

Almost surely, 2^6084738240 is an apocalyptic number.

6084738240 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 6084738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420490240).

6084738240 is an abundant number, since it is smaller than the sum of its proper divisors (16756242240).

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

6084738240 is a wasteful number, since it uses less digits than its factorization.

6084738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31279 (or 31269 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 6084738240 is about 78004.7321641450. The cubic root of 6084738240 is about 1825.6350566528.

The spelling of 6084738240 in words is "six billion, eighty-four million, seven hundred thirty-eight thousand, two hundred forty".