1323072651264 has 768 divisors, whose sum is σ = 4519310376960. Its totient is φ = 336765911040.

The previous prime is 1323072651253. The next prime is 1323072651283. The reversal of 1323072651264 is 4621562703231.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3605102409 + ... + 3605102775.

It is an arithmetic number, because the mean of its divisors is an integer number (5884518720).

Almost surely, 2^{1323072651264} is an apocalyptic number.

1323072651264 is a gapful number since it is divisible by the number (14) 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 1323072651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259655188480).

1323072651264 is an abundant number, since it is smaller than the sum of its proper divisors (3196237725696).

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

1323072651264 is an equidigital number, since it uses as much as digits as its factorization.

1323072651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 1323072651264 in words is "one trillion, three hundred twenty-three billion, seventy-two million, six hundred fifty-one thousand, two hundred sixty-four".