109068664320 has 1920 divisors, whose sum is σ = 514107095040. Its totient is φ = 21678243840.

The previous prime is 109068664291. The next prime is 109068664337. The reversal of 109068664320 is 23466860901.

109068664320 is a `hidden beast` number, since 10 + 90 + 68 + 66 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4742115829 + ... + 4742115851.

It is an arithmetic number, because the mean of its divisors is an integer number (267764112).

Almost surely, 2^109068664320 is an apocalyptic number.

109068664320 is a gapful number since it is divisible by the number (10) 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 109068664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257053547520).

109068664320 is an abundant number, since it is smaller than the sum of its proper divisors (405038430720).

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

109068664320 is an frugal number, since it uses more digits than its factorization.

109068664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 109068664320 in words is "one hundred nine billion, sixty-eight million, six hundred sixty-four thousand, three hundred twenty".