120846464640 has 384 divisors, whose sum is σ = 456562379520. Its totient is φ = 29210664960.

The previous prime is 120846464623. The next prime is 120846464677. The reversal of 120846464640 is 46464648021.

120846464640 is a `hidden beast` number, since 120 + 8 + 4 + 6 + 464 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 23250522 + ... + 23255718.

It is an arithmetic number, because the mean of its divisors is an integer number (1188964530).

Almost surely, 2^120846464640 is an apocalyptic number.

120846464640 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 120846464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228281189760).

120846464640 is an abundant number, since it is smaller than the sum of its proper divisors (335715914880).

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

120846464640 is a wasteful number, since it uses less digits than its factorization.

120846464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 120846464640 in words is "one hundred twenty billion, eight hundred forty-six million, four hundred sixty-four thousand, six hundred forty".