65440327680 has 1728 divisors, whose sum is σ = 307512616320. Its totient is φ = 12995002368.

The previous prime is 65440327657. The next prime is 65440327691. The reversal of 65440327680 is 8672304456.

65440327680 is a `hidden beast` number, since 6 + 544 + 0 + 3 + 27 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3849431032 + ... + 3849431048.

It is an arithmetic number, because the mean of its divisors is an integer number (177958690).

Almost surely, 2^65440327680 is an apocalyptic number.

65440327680 is a gapful number since it is divisible by the number (60) 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 65440327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153756308160).

65440327680 is an abundant number, since it is smaller than the sum of its proper divisors (242072288640).

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

65440327680 is a wasteful number, since it uses less digits than its factorization.

65440327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 65440327680 in words is "sixty-five billion, four hundred forty million, three hundred twenty-seven thousand, six hundred eighty".