6182742240 has 576 divisors, whose sum is σ = 23775897600. Its totient is φ = 1454948352.

The previous prime is 6182742221. The next prime is 6182742259. The reversal of 6182742240 is 422472816.

It is an interprime number because it is at equal distance from previous prime (6182742221) and next prime (6182742259).

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

It is a junction number, because it is equal to n+sod(n) for n = 6182742195 and 6182742204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44480091 + ... + 44480229.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^6182742240 is an apocalyptic number.

6182742240 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 6182742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

6182742240 is an abundant number, since it is smaller than the sum of its proper divisors (17593155360).

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

6182742240 is a wasteful number, since it uses less digits than its factorization.

6182742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6182742240 is about 78630.4154891731. The cubic root of 6182742240 is about 1835.3844462735.

The spelling of 6182742240 in words is "six billion, one hundred eighty-two million, seven hundred forty-two thousand, two hundred forty".