64428763723009 has 9 divisors (see below), whose sum is σ = 74947810916097. Its totient is φ = 55224606459204.

The previous prime is 64428763722943. The next prime is 64428763723033. The reversal of 64428763723009 is 90032736782446.

The square root of 64428763723009 is 8026753.

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

64428763723009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64428763723009 - 2¹¹ = 64428763720961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64428763723109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55613932 + ... + 56760610.

It is an arithmetic number, because the mean of its divisors is an integer number (8327534546233).

Almost surely, 2^{64428763723009} is an apocalyptic number.

64428763723009 is the 8026753-rd square number.

64428763723009 is the 4013377-th centered octagonal number.

It is an amenable number.

64428763723009 is a deficient number, since it is larger than the sum of its proper divisors (10519047193088).

64428763723009 is an frugal number, since it uses more digits than its factorization.

64428763723009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293372 (or 1146686 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 61.

The spelling of 64428763723009 in words is "sixty-four trillion, four hundred twenty-eight billion, seven hundred sixty-three million, seven hundred twenty-three thousand, nine".