120664564640 has 96 divisors (see below), whose sum is σ = 300868344000. Its totient is φ = 45604435968.

The previous prime is 120664564633. The next prime is 120664564649. The reversal of 120664564640 is 46465466021.

It is a junction number, because it is equal to n+sod(n) for n = 120664564591 and 120664564600.

It is not an unprimeable number, because it can be changed into a prime (120664564649) 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, 1099796 + ... + 1204524.

It is an arithmetic number, because the mean of its divisors is an integer number (3134045250).

Almost surely, 2^120664564640 is an apocalyptic number.

120664564640 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 120664564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150434172000).

120664564640 is an abundant number, since it is smaller than the sum of its proper divisors (180203779360).

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

120664564640 is a wasteful number, since it uses less digits than its factorization.

120664564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105142 (or 105134 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 120664564640 in words is "one hundred twenty billion, six hundred sixty-four million, five hundred sixty-four thousand, six hundred forty".