1968411303936 has 2016 divisors, whose sum is σ = 7948769472000. Its totient is φ = 478235197440.

The previous prime is 1968411303899. The next prime is 1968411303949. The reversal of 1968411303936 is 6393031148691.

1968411303936 is a `hidden beast` number, since 196 + 8 + 411 + 3 + 0 + 3 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1968411303936² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24916598745 + ... + 24916598823.

It is an arithmetic number, because the mean of its divisors is an integer number (3942842000).

Almost surely, 2^{1968411303936} is an apocalyptic number.

1968411303936 is a gapful number since it is divisible by the number (16) 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 1968411303936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974384736000).

1968411303936 is an abundant number, since it is smaller than the sum of its proper divisors (5980358168064).

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

1968411303936 is a wasteful number, since it uses less digits than its factorization.

1968411303936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1968411303936 in words is "one trillion, nine hundred sixty-eight billion, four hundred eleven million, three hundred three thousand, nine hundred thirty-six".