1264292160768 has 2304 divisors, whose sum is σ = 5274501120000. Its totient is φ = 294967443456.

The previous prime is 1264292160743. The next prime is 1264292160841. The reversal of 1264292160768 is 8670612924621.

1264292160768 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 9 + 21 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 255 ways as a sum of consecutive naturals, for example, 9955056321 + ... + 9955056447.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280000).

Almost surely, 2^{1264292160768} is an apocalyptic number.

1264292160768 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 1264292160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637250560000).

1264292160768 is an abundant number, since it is smaller than the sum of its proper divisors (4010208959232).

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

1264292160768 is a wasteful number, since it uses less digits than its factorization.

1264292160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1264292160768 in words is "one trillion, two hundred sixty-four billion, two hundred ninety-two million, one hundred sixty thousand, seven hundred sixty-eight".