64647722774646 has 192 divisors, whose sum is σ = 162091723622400. Its totient is φ = 18403745356800.

The previous prime is 64647722774627. The next prime is 64647722774647.

64647722774646 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 77 + 22 + 77 + 464 + 6 = 666.

64647722774646 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64647722774646² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64647722774647) 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, 4908331641 + ... + 4908344811.

It is an arithmetic number, because the mean of its divisors is an integer number (844227727200).

Almost surely, 2^{64647722774646} is an apocalyptic number.

64647722774646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64647722774646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81045861811200).

64647722774646 is an abundant number, since it is smaller than the sum of its proper divisors (97444000847754).

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

64647722774646 is a wasteful number, since it uses less digits than its factorization.

64647722774646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795 (or 15792 counting only the distinct ones).

The product of its digits is 3186376704, while the sum is 72.

The spelling of 64647722774646 in words is "sixty-four trillion, six hundred forty-seven billion, seven hundred twenty-two million, seven hundred seventy-four thousand, six hundred forty-six".