64800358717689 has 63 divisors (see below), whose sum is σ = 109214432591173. Its totient is φ = 37024043088312.

The previous prime is 64800358717553. The next prime is 64800358717697. The reversal of 64800358717689 is 98671785300846.

The square root of 64800358717689 is 8049867.

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

64800358717689 is a `hidden beast` number, since 6 + 480 + 0 + 3 + 5 + 8 + 71 + 76 + 8 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 64800358717689 - 2²⁵ = 64800325163257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64800358712689) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8283309232 + ... + 8283317054.

Almost surely, 2^{64800358717689} is an apocalyptic number.

64800358717689 is the 8049867-th square number.

64800358717689 is the 4024934-th centered octagonal number.

It is an amenable number.

64800358717689 is a deficient number, since it is larger than the sum of its proper divisors (44414073873484).

64800358717689 is an frugal number, since it uses more digits than its factorization.

64800358717689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 64800358717689 in words is "sixty-four trillion, eight hundred billion, three hundred fifty-eight million, seven hundred seventeen thousand, six hundred eighty-nine".