65427229326816 has 576 divisors, whose sum is σ = 231025172152320. Its totient is φ = 17820440225280.

The previous prime is 65427229326779. The next prime is 65427229326817. The reversal of 65427229326816 is 61862392272456.

65427229326816 is a `hidden beast` number, since 6 + 5 + 4 + 2 + 7 + 229 + 326 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65427229326817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112765905 + ... + 113344623.

It is an arithmetic number, because the mean of its divisors is an integer number (401085368320).

Almost surely, 2^{65427229326816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65427229326816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115512586076160).

65427229326816 is an abundant number, since it is smaller than the sum of its proper divisors (165597942825504).

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

65427229326816 is a wasteful number, since it uses less digits than its factorization.

65427229326816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578849 (or 578829 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 65427229326816 in words is "sixty-five trillion, four hundred twenty-seven billion, two hundred twenty-nine million, three hundred twenty-six thousand, eight hundred sixteen".