10004356677761 has 16 divisors (see below), whose sum is σ = 10071989363520. Its totient is φ = 9936963178560.

The previous prime is 10004356677739. The next prime is 10004356677769. The reversal of 10004356677761 is 16777665340001.

It is a cyclic number.

It is not a de Polignac number, because 10004356677761 - 2¹⁸ = 10004356415617 is a prime.

It is a super-2 number, since 2×10004356677761² (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 (10004356677769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934195475 + ... + 934206183.

It is an arithmetic number, because the mean of its divisors is an integer number (629499335220).

Almost surely, 2^{10004356677761} is an apocalyptic number.

It is an amenable number.

10004356677761 is a deficient number, since it is larger than the sum of its proper divisors (67632685759).

10004356677761 is a wasteful number, since it uses less digits than its factorization.

10004356677761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21296.

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 10004356677761 in words is "ten trillion, four billion, three hundred fifty-six million, six hundred seventy-seven thousand, seven hundred sixty-one".