120766464000 has 1440 divisors, whose sum is σ = 554199662016. Its totient is φ = 25480396800.

The previous prime is 120766463963. The next prime is 120766464001. The reversal of 120766464000 is 464667021.

120766464000 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 6 + 6 + 4 + 640 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120766464001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9289727994 + ... + 9289728006.

Almost surely, 2^120766464000 is an apocalyptic number.

120766464000 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 120766464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277099831008).

120766464000 is an abundant number, since it is smaller than the sum of its proper divisors (433433198016).

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

120766464000 is an frugal number, since it uses more digits than its factorization.

120766464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 120766464000 in words is "one hundred twenty billion, seven hundred sixty-six million, four hundred sixty-four thousand".