1163744064000 has 2560 divisors, whose sum is σ = 5294746828800. Its totient is φ = 246222028800.

The previous prime is 1163744063987. The next prime is 1163744064013. The reversal of 1163744064000 is 4604473611.

1163744064000 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 7 + 4 + 4 + 0 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1163744063987) and next prime (1163744064013).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13075775956 + ... + 13075776044.

It is an arithmetic number, because the mean of its divisors is an integer number (2068260480).

Almost surely, 2^{1163744064000} is an apocalyptic number.

1163744064000 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 1163744064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647373414400).

1163744064000 is an abundant number, since it is smaller than the sum of its proper divisors (4131002764800).

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

1163744064000 is an equidigital number, since it uses as much as digits as its factorization.

1163744064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1163744064000 in words is "one trillion, one hundred sixty-three billion, seven hundred forty-four million, sixty-four thousand".