1968363947880 has 1024 divisors, whose sum is σ = 7679923200000. Its totient is φ = 448961356800.

The previous prime is 1968363947863. The next prime is 1968363947951. The reversal of 1968363947880 is 887493638691.

1968363947880 is a `hidden beast` number, since 1 + 9 + 68 + 36 + 394 + 78 + 80 = 666.

It is a super-3 number, since 3×1968363947880³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1968363947799 and 1968363947808.

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, 3638380410 + ... + 3638380950.

It is an arithmetic number, because the mean of its divisors is an integer number (7499925000).

Almost surely, 2^{1968363947880} is an apocalyptic number.

1968363947880 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 1968363947880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839961600000).

1968363947880 is an abundant number, since it is smaller than the sum of its proper divisors (5711559252120).

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

1968363947880 is a wasteful number, since it uses less digits than its factorization.

1968363947880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 1968363947880 in words is "one trillion, nine hundred sixty-eight billion, three hundred sixty-three million, nine hundred forty-seven thousand, eight hundred eighty".