10735576704 has 384 divisors, whose sum is σ = 34484486400. Its totient is φ = 3312451584.

The previous prime is 10735576681. The next prime is 10735576723. The reversal of 10735576704 is 40767553701.

10735576704 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 5 + 576 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 10735576704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41772544 + ... + 41772800.

It is an arithmetic number, because the mean of its divisors is an integer number (89803350).

Almost surely, 2^10735576704 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 10735576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242243200).

10735576704 is an abundant number, since it is smaller than the sum of its proper divisors (23748909696).

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

10735576704 is an equidigital number, since it uses as much as digits as its factorization.

10735576704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 10735576704 in words is "ten billion, seven hundred thirty-five million, five hundred seventy-six thousand, seven hundred four".