6075102240 has 576 divisors, whose sum is σ = 22930532352. Its totient is φ = 1459814400.

The previous prime is 6075102239. The next prime is 6075102251. The reversal of 6075102240 is 422015706.

6075102240 is a `hidden beast` number, since 607 + 5 + 10 + 2 + 2 + 40 = 666.

It is an unprimeable number.

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, 62629872 + ... + 62629968.

It is an arithmetic number, because the mean of its divisors is an integer number (39809952).

Almost surely, 2^6075102240 is an apocalyptic number.

6075102240 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 6075102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465266176).

6075102240 is an abundant number, since it is smaller than the sum of its proper divisors (16855430112).

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

6075102240 is a wasteful number, since it uses less digits than its factorization.

6075102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6075102240 is about 77942.9422077458. The cubic root of 6075102240 is about 1824.6708347353.

Adding to 6075102240 its reverse (422015706), we get a palindrome (6497117946).

The spelling of 6075102240 in words is "six billion, seventy-five million, one hundred two thousand, two hundred forty".