1613335968000 has 720 divisors, whose sum is σ = 6063015294336. Its totient is φ = 425975500800.

The previous prime is 1613335967987. The next prime is 1613335968091. The reversal of 1613335968000 is 8695333161.

1613335968000 is a `hidden beast` number, since 16 + 13 + 33 + 596 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 266972979 + ... + 266979021.

Almost surely, 2^{1613335968000} is an apocalyptic number.

1613335968000 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 1613335968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031507647168).

1613335968000 is an abundant number, since it is smaller than the sum of its proper divisors (4449679326336).

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

1613335968000 is an equidigital number, since it uses as much as digits as its factorization.

1613335968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1613335968000 in words is "one trillion, six hundred thirteen billion, three hundred thirty-five million, nine hundred sixty-eight thousand".