1264393661328 has 1120 divisors, whose sum is σ = 4479061536000. Its totient is φ = 345226033152.

The previous prime is 1264393661203. The next prime is 1264393661329. The reversal of 1264393661328 is 8231663934621.

1264393661328 is a `hidden beast` number, since 1 + 2 + 64 + 393 + 66 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6718464) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (1264393661329) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 14206670308 + ... + 14206670396.

Almost surely, 2^{1264393661328} is an apocalyptic number.

1264393661328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264393661328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239530768000).

1264393661328 is an abundant number, since it is smaller than the sum of its proper divisors (3214667874672).

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

1264393661328 is an frugal number, since it uses more digits than its factorization.

1264393661328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 1264393661328 in words is "one trillion, two hundred sixty-four billion, three hundred ninety-three million, six hundred sixty-one thousand, three hundred twenty-eight".