64828345656735 has 48 divisors (see below), whose sum is σ = 119010014600256. Its totient is φ = 32532826881024.

The previous prime is 64828345656727. The next prime is 64828345656743. The reversal of 64828345656735 is 53765654382846.

64828345656735 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 8 + 3 + 4 + 56 + 567 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (64828345656727) and next prime (64828345656743).

It is not a de Polignac number, because 64828345656735 - 2³ = 64828345656727 is a prime.

It is a super-2 number, since 2×64828345656735² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8071204 + ... + 13957113.

It is an arithmetic number, because the mean of its divisors is an integer number (2479375304172).

Almost surely, 2^{64828345656735} is an apocalyptic number.

64828345656735 is a deficient number, since it is larger than the sum of its proper divisors (54181668943521).

64828345656735 is a wasteful number, since it uses less digits than its factorization.

64828345656735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032192 (or 22032189 counting only the distinct ones).

The product of its digits is 3483648000, while the sum is 72.

The spelling of 64828345656735 in words is "sixty-four trillion, eight hundred twenty-eight billion, three hundred forty-five million, six hundred fifty-six thousand, seven hundred thirty-five".