1968746780 has 192 divisors, whose sum is σ = 5744148480. Its totient is φ = 546739200.

The previous prime is 1968746779. The next prime is 1968746783. The reversal of 1968746780 is 876478691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968746783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578885 + ... + 582275.

It is an arithmetic number, because the mean of its divisors is an integer number (29917440).

Almost surely, 2^1968746780 is an apocalyptic number.

1968746780 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 1968746780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872074240).

1968746780 is an abundant number, since it is smaller than the sum of its proper divisors (3775401700).

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

1968746780 is a wasteful number, since it uses less digits than its factorization.

1968746780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The square root of 1968746780 is about 44370.5620879429. The cubic root of 1968746780 is about 1253.3238004468.

The spelling of 1968746780 in words is "one billion, nine hundred sixty-eight million, seven hundred forty-six thousand, seven hundred eighty".