64272664608768 has 2160 divisors, whose sum is σ = 248857628842368. Its totient is φ = 16387080192000.

The previous prime is 64272664608767. The next prime is 64272664608769. The reversal of 64272664608768 is 86780646627246.

It is a happy number.

64272664608768 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 2 + 6 + 6 + 4 + 608 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (64272664608767) and next prime (64272664608769).

It is a super-2 number, since 2×64272664608768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64272664608696 and 64272664608705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64272664608767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130901557003 + ... + 130901557493.

Almost surely, 2^{64272664608768} 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 64272664608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124428814421184).

64272664608768 is an abundant number, since it is smaller than the sum of its proper divisors (184584964233600).

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

64272664608768 is an equidigital number, since it uses as much as digits as its factorization.

64272664608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 64272664608768 in words is "sixty-four trillion, two hundred seventy-two billion, six hundred sixty-four million, six hundred eight thousand, seven hundred sixty-eight".