10794117664 has 144 divisors (see below), whose sum is σ = 25386359040. Its totient is φ = 4497292800.

The previous prime is 10794117647. The next prime is 10794117671. The reversal of 10794117664 is 46671149701.

It is a super-2 number, since 2×10794117664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2278242 + ... + 2282974.

It is an arithmetic number, because the mean of its divisors is an integer number (176294160).

Almost surely, 2^10794117664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10794117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693179520).

10794117664 is an abundant number, since it is smaller than the sum of its proper divisors (14592241376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10794117664 is a wasteful number, since it uses less digits than its factorization.

10794117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

It can be divided in two parts, 1079411 and 7664, that added together give a triangular number (1087075 = T₁₄₇₄).

The spelling of 10794117664 in words is "ten billion, seven hundred ninety-four million, one hundred seventeen thousand, six hundred sixty-four".