65478668544 has 135 divisors (see below), whose sum is σ = 195355477317. Its totient is φ = 21813940224.

The previous prime is 65478668539. The next prime is 65478668561. The reversal of 65478668544 is 44586687456.

It is a happy number.

The square root of 65478668544 is 255888.

It is a perfect power (a square), and thus also a powerful number.

65478668544 is a `hidden beast` number, since 6 + 5 + 4 + 7 + 86 + 6 + 8 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33182265600 + 32296402944 = 182160^2 + 179712^2 .

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 14 ways as a sum of consecutive naturals, for example, 36846984 + ... + 36848760.

Almost surely, 2^65478668544 is an apocalyptic number.

65478668544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65478668544 is the 255888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65478668544

65478668544 is an abundant number, since it is smaller than the sum of its proper divisors (129876808773).

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

65478668544 is an frugal number, since it uses more digits than its factorization.

65478668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 1782 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 65478668544 in words is "sixty-five billion, four hundred seventy-eight million, six hundred sixty-eight thousand, five hundred forty-four".