109964574720 has 1440 divisors, whose sum is σ = 515254521600. Its totient is φ = 20950548480.

The previous prime is 109964574719. The next prime is 109964574739. The reversal of 109964574720 is 27475469901.

109964574720 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 64 + 574 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738017206 + ... + 738017354.

It is an arithmetic number, because the mean of its divisors is an integer number (357815640).

Almost surely, 2^109964574720 is an apocalyptic number.

109964574720 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 109964574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257627260800).

109964574720 is an abundant number, since it is smaller than the sum of its proper divisors (405289946880).

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

109964574720 is a wasteful number, since it uses less digits than its factorization.

109964574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 109964574720 in words is "one hundred nine billion, nine hundred sixty-four million, five hundred seventy-four thousand, seven hundred twenty".