1268766480 has 80 divisors (see below), whose sum is σ = 4104201600. Its totient is φ = 323625984.

The previous prime is 1268766479. The next prime is 1268766487. The reversal of 1268766480 is 846678621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1268766487) 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 15 ways as a sum of consecutive naturals, for example, 109405 + ... + 120444.

It is an arithmetic number, because the mean of its divisors is an integer number (51302520).

Almost surely, 2^1268766480 is an apocalyptic number.

1268766480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268766480 is an abundant number, since it is smaller than the sum of its proper divisors (2835435120).

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

1268766480 is a wasteful number, since it uses less digits than its factorization.

1268766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229888 (or 229882 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1268766480 is about 35619.7484550354. The cubic root of 1268766480 is about 1082.5814107426.

The spelling of 1268766480 in words is "one billion, two hundred sixty-eight million, seven hundred sixty-six thousand, four hundred eighty".