65427651828 has 288 divisors, whose sum is σ = 214658196480. Its totient is φ = 16928663040.

The previous prime is 65427651827. The next prime is 65427651829. The reversal of 65427651828 is 82815672456.

65427651828 is a `hidden beast` number, since 6 + 54 + 2 + 76 + 518 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (65427651827) and next prime (65427651829).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65427651827) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21179308 + ... + 21182396.

It is an arithmetic number, because the mean of its divisors is an integer number (745340960).

Almost surely, 2^65427651828 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 65427651828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107329098240).

65427651828 is an abundant number, since it is smaller than the sum of its proper divisors (149230544652).

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

65427651828 is a wasteful number, since it uses less digits than its factorization.

65427651828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3395 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 65427651828 in words is "sixty-five billion, four hundred twenty-seven million, six hundred fifty-one thousand, eight hundred twenty-eight".