65440655604456 has 128 divisors (see below), whose sum is σ = 183457157385600. Its totient is φ = 19277804666880.

The previous prime is 65440655604439. The next prime is 65440655604479.

65440655604456 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65440655604456.

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, 8357260 + ... + 14167748.

It is an arithmetic number, because the mean of its divisors is an integer number (1433259042075).

Almost surely, 2^{65440655604456} is an apocalyptic number.

65440655604456 is a gapful number since it is divisible by the number (66) 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 65440655604456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728578692800).

65440655604456 is an abundant number, since it is smaller than the sum of its proper divisors (118016501781144).

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

65440655604456 is a wasteful number, since it uses less digits than its factorization.

65440655604456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811699 (or 5811695 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 65440655604456 in words is "sixty-five trillion, four hundred forty billion, six hundred fifty-five million, six hundred four thousand, four hundred fifty-six".