10709453664 has 768 divisors, whose sum is σ = 41455411200. Its totient is φ = 2611243008.

The previous prime is 10709453633. The next prime is 10709453693. The reversal of 10709453664 is 46635490701.

10709453664 is a `hidden beast` number, since 107 + 0 + 9 + 4 + 536 + 6 + 4 = 666.

10709453664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10709453664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100088299 + ... + 100088405.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 2^10709453664 is an apocalyptic number.

10709453664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10709453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

10709453664 is an abundant number, since it is smaller than the sum of its proper divisors (30745957536).

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

10709453664 is a wasteful number, since it uses less digits than its factorization.

10709453664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10709453664 in words is "ten billion, seven hundred nine million, four hundred fifty-three thousand, six hundred sixty-four".