65327581440 has 864 divisors, whose sum is σ = 266009103360. Its totient is φ = 14631321600.

The previous prime is 65327581391. The next prime is 65327581463. The reversal of 65327581440 is 4418572356.

65327581440 is a `hidden beast` number, since 6 + 5 + 3 + 27 + 581 + 4 + 40 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103529925 + ... + 103530555.

Almost surely, 2^65327581440 is an apocalyptic number.

65327581440 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 65327581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133004551680).

65327581440 is an abundant number, since it is smaller than the sum of its proper divisors (200681521920).

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

65327581440 is a wasteful number, since it uses less digits than its factorization.

65327581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 65327581440 in words is "sixty-five billion, three hundred twenty-seven million, five hundred eighty-one thousand, four hundred forty".