10664764360768 has 56 divisors (see below), whose sum is σ = 24254678431872. Its totient is φ = 4557665316864.

The previous prime is 10664764360759. The next prime is 10664764360777. The reversal of 10664764360768 is 86706346746601.

It is an interprime number because it is at equal distance from previous prime (10664764360759) and next prime (10664764360777).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10664764360768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33560380 + ... + 33876667.

It is an arithmetic number, because the mean of its divisors is an integer number (433119257712).

Almost surely, 2^{10664764360768} is an apocalyptic number.

It is an amenable number.

10664764360768 is an abundant number, since it is smaller than the sum of its proper divisors (13589914071104).

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

10664764360768 is an equidigital number, since it uses as much as digits as its factorization.

10664764360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67437419 (or 67437409 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 64.

The spelling of 10664764360768 in words is "ten trillion, six hundred sixty-four billion, seven hundred sixty-four million, three hundred sixty thousand, seven hundred sixty-eight".