65645040384 has 288 divisors, whose sum is σ = 242026606080. Its totient is φ = 17050521600.

The previous prime is 65645040359. The next prime is 65645040431. The reversal of 65645040384 is 48304054656.

65645040384 is a `hidden beast` number, since 6 + 5 + 64 + 504 + 0 + 3 + 84 = 666.

65645040384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470554 + ... + 593894.

It is an arithmetic number, because the mean of its divisors is an integer number (840370160).

Almost surely, 2^65645040384 is an apocalyptic number.

65645040384 is a gapful number since it is divisible by the number (64) 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 65645040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121013303040).

65645040384 is an abundant number, since it is smaller than the sum of its proper divisors (176381565696).

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

65645040384 is a wasteful number, since it uses less digits than its factorization.

65645040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123384 (or 123364 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 65645040384 in words is "sixty-five billion, six hundred forty-five million, forty thousand, three hundred eighty-four".