10640637476001 has 27 divisors (see below), whose sum is σ = 16643247344217. Its totient is φ = 6548006312640.

The previous prime is 10640637475981. The next prime is 10640637476009. The reversal of 10640637476001 is 10067473604601.

The square root of 10640637476001 is 3261999.

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

10640637476001 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 6 + 37 + 4 + 7 + 600 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9029454059025 + 1611183416976 = 3004905^2 + 1269324^2 .

It is not a de Polignac number, because 10640637476001 - 2¹³ = 10640637467809 is a prime.

It is a super-2 number, since 2×10640637476001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640637476009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127176141 + ... + 127259781.

Almost surely, 2^{10640637476001} is an apocalyptic number.

10640637476001 is the 3261999-th square number.

10640637476001 is the 1631000-th centered octagonal number.

It is an amenable number.

10640637476001 is a deficient number, since it is larger than the sum of its proper divisors (6002609868216).

10640637476001 is an frugal number, since it uses more digits than its factorization.

10640637476001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167314 (or 83657 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10640637476001 in words is "ten trillion, six hundred forty billion, six hundred thirty-seven million, four hundred seventy-six thousand, one".