1268756064 has 36 divisors (see below), whose sum is σ = 3608025876. Its totient is φ = 422918592.

The previous prime is 1268756063. The next prime is 1268756081. The reversal of 1268756064 is 4606578621.

1268756064 is a `hidden beast` number, since 1 + 2 + 6 + 87 + 560 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268756063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2202414 + ... + 2202989.

It is an arithmetic number, because the mean of its divisors is an integer number (100222941).

Almost surely, 2^1268756064 is an apocalyptic number.

It is an amenable number.

1268756064 is an abundant number, since it is smaller than the sum of its proper divisors (2339269812).

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

1268756064 is a wasteful number, since it uses less digits than its factorization.

1268756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405419 (or 4405408 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1268756064 is about 35619.6022437084. The cubic root of 1268756064 is about 1082.5784482329.

The spelling of 1268756064 in words is "one billion, two hundred sixty-eight million, seven hundred fifty-six thousand, sixty-four".