1264393468800 has 1728 divisors, whose sum is σ = 6002873604000. Its totient is φ = 247195238400.

The previous prime is 1264393468799. The next prime is 1264393468841. The reversal of 1264393468800 is 88643934621.

1264393468800 is a `hidden beast` number, since 1 + 264 + 39 + 346 + 8 + 8 + 0 + 0 = 666.

It is a congruent 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 215 ways as a sum of consecutive naturals, for example, 414689676 + ... + 414692724.

Almost surely, 2^{1264393468800} is an apocalyptic number.

1264393468800 is a gapful number since it is divisible by the number (10) 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 1264393468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001436802000).

1264393468800 is an abundant number, since it is smaller than the sum of its proper divisors (4738480135200).

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

1264393468800 is a wasteful number, since it uses less digits than its factorization.

1264393468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1264393468800 in words is "one trillion, two hundred sixty-four billion, three hundred ninety-three million, four hundred sixty-eight thousand, eight hundred".