6057746640001 has 27 divisors (see below), whose sum is σ = 7200850279107. Its totient is φ = 5081199335520.

The previous prime is 6057746639993. The next prime is 6057746640019. The reversal of 6057746640001 is 1000466477506.

The square root of 6057746640001 is 2461249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5256936425601 + 800810214400 = 2292801^2 + 894880^2 .

It is not a de Polignac number, because 6057746640001 - 2³ = 6057746639993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6057746340001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 809747181 + ... + 809754661.

Almost surely, 2^{6057746640001} is an apocalyptic number.

6057746640001 is the 2461249-th square number.

6057746640001 is the 1230625-th centered octagonal number.

It is an amenable number.

6057746640001 is a deficient number, since it is larger than the sum of its proper divisors (1143103639106).

6057746640001 is an frugal number, since it uses more digits than its factorization.

6057746640001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15070 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 6057746640001 in words is "six trillion, fifty-seven billion, seven hundred forty-six million, six hundred forty thousand, one".