10746005664 has 96 divisors (see below), whose sum is σ = 29248321536. Its totient is φ = 3450965760.

The previous prime is 10746005639. The next prime is 10746005671. The reversal of 10746005664 is 46650064701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667599 + ... + 683505.

It is an arithmetic number, because the mean of its divisors is an integer number (304670016).

Almost surely, 2^10746005664 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 10746005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624160768).

10746005664 is an abundant number, since it is smaller than the sum of its proper divisors (18502315872).

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

10746005664 is a wasteful number, since it uses less digits than its factorization.

10746005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16178 (or 16170 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10746005664 in words is "ten billion, seven hundred forty-six million, five thousand, six hundred sixty-four".