1266137664 has 112 divisors (see below), whose sum is σ = 3665012736. Its totient is φ = 382579200.

The previous prime is 1266137657. The next prime is 1266137701. The reversal of 1266137664 is 4667316621.

1266137664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027929 + ... + 1029159.

It is an arithmetic number, because the mean of its divisors is an integer number (32723328).

Almost surely, 2^1266137664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832506368).

1266137664 is an abundant number, since it is smaller than the sum of its proper divisors (2398875072).

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

1266137664 is a wasteful number, since it uses less digits than its factorization.

1266137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1734 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 1266137664 is about 35582.8282181167. The cubic root of 1266137664 is about 1081.8332102485.

The spelling of 1266137664 in words is "one billion, two hundred sixty-six million, one hundred thirty-seven thousand, six hundred sixty-four".