120304767264 has 384 divisors, whose sum is σ = 377534545920. Its totient is φ = 33138201600.

The previous prime is 120304767251. The next prime is 120304767281. The reversal of 120304767264 is 462767403021.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78991207 + ... + 78992729.

It is an arithmetic number, because the mean of its divisors is an integer number (983162880).

Almost surely, 2^120304767264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120304767264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188767272960).

120304767264 is an abundant number, since it is smaller than the sum of its proper divisors (257229778656).

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

120304767264 is a wasteful number, since it uses less digits than its factorization.

120304767264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 120304767264 in words is "one hundred twenty billion, three hundred four million, seven hundred sixty-seven thousand, two hundred sixty-four".