1179664416000 has 1296 divisors, whose sum is σ = 4976019397440. Its totient is φ = 267557068800.

The previous prime is 1179664415999. The next prime is 1179664416031. The reversal of 1179664416000 is 6144669711.

1179664416000 is a `hidden beast` number, since 1 + 179 + 6 + 64 + 416 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2526047767 + ... + 2526048233.

It is an arithmetic number, because the mean of its divisors is an integer number (3839521140).

Almost surely, 2^{1179664416000} is an apocalyptic number.

1179664416000 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 1179664416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488009698720).

1179664416000 is an abundant number, since it is smaller than the sum of its proper divisors (3796354981440).

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

1179664416000 is a wasteful number, since it uses less digits than its factorization.

1179664416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1179664416000 in words is "one trillion, one hundred seventy-nine billion, six hundred sixty-four million, four hundred sixteen thousand".