65647200274656 has 384 divisors, whose sum is σ = 231392827008000. Its totient is φ = 15738168360960.

The previous prime is 65647200274637. The next prime is 65647200274697.

65647200274656 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65647200274656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1392311370 + ... + 1392358518.

It is an arithmetic number, because the mean of its divisors is an integer number (602585487000).

Almost surely, 2^{65647200274656} is an apocalyptic number.

65647200274656 is a gapful number since it is divisible by the number (66) 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 65647200274656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115696413504000).

65647200274656 is an abundant number, since it is smaller than the sum of its proper divisors (165745626733344).

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

65647200274656 is a wasteful number, since it uses less digits than its factorization.

65647200274656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61682 (or 61674 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 65647200274656 in words is "sixty-five trillion, six hundred forty-seven billion, two hundred million, two hundred seventy-four thousand, six hundred fifty-six".