6075005706 has 144 divisors (see below), whose sum is σ = 16960567104. Its totient is φ = 1526688000.

The previous prime is 6075005701. The next prime is 6075005719.

6075005706 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6075005701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1329666 + ... + 1334226.

It is an arithmetic number, because the mean of its divisors is an integer number (117781716).

Almost surely, 2^6075005706 is an apocalyptic number.

6075005706 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6075005706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480283552).

6075005706 is an abundant number, since it is smaller than the sum of its proper divisors (10885561398).

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

6075005706 is a wasteful number, since it uses less digits than its factorization.

6075005706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 6075005706 is about 77942.3229445979. The cubic root of 6075005706 is about 1824.6611699483.

The spelling of 6075005706 in words is "six billion, seventy-five million, five thousand, seven hundred six".