427726464064 has 63 divisors (see below), whose sum is σ = 879358801477. Its totient is φ = 206415388928.

The previous prime is 427726464031. The next prime is 427726464083. The reversal of 427726464064 is 460464627724.

The square root of 427726464064 is 654008.

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

It can be written as a sum of positive squares in only one way, i.e., 224289382464 + 203437081600 = 473592^2 + 451040^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 151728447 + ... + 151731265.

Almost surely, 2^427726464064 is an apocalyptic number.

427726464064 is the 654008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427726464064

427726464064 is an abundant number, since it is smaller than the sum of its proper divisors (451632337413).

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

427726464064 is an frugal number, since it uses more digits than its factorization.

427726464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 52.

The spelling of 427726464064 in words is "four hundred twenty-seven billion, seven hundred twenty-six million, four hundred sixty-four thousand, sixty-four".