65546542448640 has 2720 divisors, whose sum is σ = 274930704423936. Its totient is φ = 14780328837120.

The previous prime is 65546542448591. The next prime is 65546542448657. The reversal of 65546542448640 is 4684424564556.

It is a happy number.

65546542448640 is a `hidden beast` number, since 6 + 5 + 5 + 4 + 6 + 542 + 4 + 4 + 86 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 288751288207 + ... + 288751288433.

Almost surely, 2^{65546542448640} is an apocalyptic number.

65546542448640 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 65546542448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137465352211968).

65546542448640 is an abundant number, since it is smaller than the sum of its proper divisors (209384161975296).

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

65546542448640 is a wasteful number, since it uses less digits than its factorization.

65546542448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 442368000, while the sum is 63.

The spelling of 65546542448640 in words is "sixty-five trillion, five hundred forty-six billion, five hundred forty-two million, four hundred forty-eight thousand, six hundred forty".