64010132072001 has 18 divisors (see below), whose sum is σ = 97581466349250. Its totient is φ = 40427451832896.

The previous prime is 64010132071999. The next prime is 64010132072011. The reversal of 64010132072001 is 10027023101046.

64010132072001 is a `hidden beast` number, since 640 + 1 + 0 + 13 + 2 + 0 + 7 + 2 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47937289352976 + 16072842719025 = 6923676^2 + 4009095^2 .

It is not a de Polignac number, because 64010132072001 - 2¹ = 64010132071999 is a prime.

It is a super-2 number, since 2×64010132072001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64010132072011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9850740376 + ... + 9850746873.

Almost surely, 2^{64010132072001} is an apocalyptic number.

It is an amenable number.

64010132072001 is a deficient number, since it is larger than the sum of its proper divisors (33571334277249).

64010132072001 is a wasteful number, since it uses less digits than its factorization.

64010132072001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19701487293 (or 19701487271 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 64010132072001 its reverse (10027023101046), we get a palindrome (74037155173047).

The spelling of 64010132072001 in words is "sixty-four trillion, ten billion, one hundred thirty-two million, seventy-two thousand, one".