120073584640 has 256 divisors, whose sum is σ = 304401162240. Its totient is φ = 45400719360.

The previous prime is 120073584623. The next prime is 120073584643. The reversal of 120073584640 is 46485370021.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 120073584593 and 120073584602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120073584643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238714629 + ... + 238715131.

It is an arithmetic number, because the mean of its divisors is an integer number (1189067040).

Almost surely, 2^120073584640 is an apocalyptic number.

120073584640 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 120073584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152200581120).

120073584640 is an abundant number, since it is smaller than the sum of its proper divisors (184327577600).

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

120073584640 is an frugal number, since it uses more digits than its factorization.

120073584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 120073584640 in words is "one hundred twenty billion, seventy-three million, five hundred eighty-four thousand, six hundred forty".