65827138624 has 63 divisors (see below), whose sum is σ = 141504153237. Its totient is φ = 30369441024.

The previous prime is 65827138589. The next prime is 65827138633. The reversal of 65827138624 is 42683172856.

The square root of 65827138624 is 256568.

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

It can be written as a sum of positive squares in only one way, i.e., 9737742400 + 56089396224 = 98680^2 + 236832^2 .

It is a super-3 number, since 3×65827138624³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 26681839 + ... + 26684305.

Almost surely, 2^65827138624 is an apocalyptic number.

65827138624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65827138624 is the 256568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65827138624

65827138624 is an abundant number, since it is smaller than the sum of its proper divisors (75677014613).

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

65827138624 is an frugal number, since it uses more digits than its factorization.

65827138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 2482 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 65827138624 in words is "sixty-five billion, eight hundred twenty-seven million, one hundred thirty-eight thousand, six hundred twenty-four".