10360817664 has 96 divisors (see below), whose sum is σ = 28265196960. Its totient is φ = 3373203456.

The previous prime is 10360817561. The next prime is 10360817681. The reversal of 10360817664 is 46671806301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10360817664³ (a number of 31 digits) contains 333 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 7 ways as a sum of consecutive naturals, for example, 244584 + ... + 283800.

It is an arithmetic number, because the mean of its divisors is an integer number (294429135).

Almost surely, 2^10360817664 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 10360817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132598480).

10360817664 is an abundant number, since it is smaller than the sum of its proper divisors (17904379296).

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

10360817664 is an equidigital number, since it uses as much as digits as its factorization.

10360817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39285 (or 39265 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10360817664 in words is "ten billion, three hundred sixty million, eight hundred seventeen thousand, six hundred sixty-four".