120579938640 has 960 divisors, whose sum is σ = 508081766400. Its totient is φ = 25007616000.

The previous prime is 120579938587. The next prime is 120579938653. The reversal of 120579938640 is 46839975021.

120579938640 is a `hidden beast` number, since 1 + 2 + 0 + 579 + 9 + 3 + 8 + 64 + 0 = 666.

120579938640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 448252426 + ... + 448252694.

It is an arithmetic number, because the mean of its divisors is an integer number (529251840).

It is a 1-persistent number, because it is pandigital, but 2⋅120579938640 = 241159877280 is not.

Almost surely, 2^120579938640 is an apocalyptic number.

120579938640 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 120579938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254040883200).

120579938640 is an abundant number, since it is smaller than the sum of its proper divisors (387501827760).

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

120579938640 is a wasteful number, since it uses less digits than its factorization.

120579938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 120579938640 in words is "one hundred twenty billion, five hundred seventy-nine million, nine hundred thirty-eight thousand, six hundred forty".