8426760001001 has 16 divisors (see below), whose sum is σ = 8890366118400. Its totient is φ = 7974984658368.

The previous prime is 8426760000983. The next prime is 8426760001091. The reversal of 8426760001001 is 1001000676248.

It is a cyclic number.

It is not a de Polignac number, because 8426760001001 - 2³⁴ = 8409580131817 is a prime.

It is a super-2 number, since 2×8426760001001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8426760001091) 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 15 ways as a sum of consecutive naturals, for example, 1041461 + ... + 4235346.

It is an arithmetic number, because the mean of its divisors is an integer number (555647882400).

Almost surely, 2^{8426760001001} is an apocalyptic number.

It is an amenable number.

8426760001001 is a deficient number, since it is larger than the sum of its proper divisors (463606117399).

8426760001001 is a wasteful number, since it uses less digits than its factorization.

8426760001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277928.

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 8426760001001 its reverse (1001000676248), we get a palindrome (9427760677249).

The spelling of 8426760001001 in words is "eight trillion, four hundred twenty-six billion, seven hundred sixty million, one thousand, one".