1968078336 has 240 divisors, whose sum is σ = 6194960640. Its totient is φ = 553512960.

The previous prime is 1968078313. The next prime is 1968078347. The reversal of 1968078336 is 6338708691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5945691 + ... + 5946021.

It is an arithmetic number, because the mean of its divisors is an integer number (25812336).

Almost surely, 2^1968078336 is an apocalyptic number.

1968078336 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 1968078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097480320).

1968078336 is an abundant number, since it is smaller than the sum of its proper divisors (4226882304).

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

1968078336 is an equidigital number, since it uses as much as digits as its factorization.

1968078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 1968078336 is about 44363.0289317580. The cubic root of 1968078336 is about 1253.1819383552.

The spelling of 1968078336 in words is "one billion, nine hundred sixty-eight million, seventy-eight thousand, three hundred thirty-six".