120604608864 has 144 divisors (see below), whose sum is σ = 356482591920. Its totient is φ = 38630753280.

The previous prime is 120604608841. The next prime is 120604608871. The reversal of 120604608864 is 468806406021.

120604608864 is a `hidden beast` number, since 120 + 6 + 0 + 460 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728054 + ... + 1796490.

It is an arithmetic number, because the mean of its divisors is an integer number (2475573555).

Almost surely, 2^120604608864 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 120604608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178241295960).

120604608864 is an abundant number, since it is smaller than the sum of its proper divisors (235877983056).

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

120604608864 is a wasteful number, since it uses less digits than its factorization.

120604608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68693 (or 68682 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 120604608864 in words is "one hundred twenty billion, six hundred four million, six hundred eight thousand, eight hundred sixty-four".