65547281479680 has 2880 divisors, whose sum is σ = 317880322119360. Its totient is φ = 12570753761280.

The previous prime is 65547281479679. The next prime is 65547281479697. The reversal of 65547281479680 is 8697418274556.

65547281479680 is a `hidden beast` number, since 6 + 5 + 5 + 4 + 72 + 8 + 1 + 479 + 6 + 80 = 666.

65547281479680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×65547281479680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65547281479599 and 65547281479608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9132960252 + ... + 9132967428.

It is an arithmetic number, because the mean of its divisors is an integer number (110375111847).

Almost surely, 2^{65547281479680} is an apocalyptic number.

65547281479680 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 65547281479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158940161059680).

65547281479680 is an abundant number, since it is smaller than the sum of its proper divisors (252333040639680).

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

65547281479680 is a wasteful number, since it uses less digits than its factorization.

65547281479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 65547281479680 in words is "sixty-five trillion, five hundred forty-seven billion, two hundred eighty-one million, four hundred seventy-nine thousand, six hundred eighty".