1968676500 has 384 divisors, whose sum is σ = 7132769280. Its totient is φ = 411648000.

The previous prime is 1968676481. The next prime is 1968676531. The reversal of 1968676500 is 56768691.

It is a self number, because there is not a number n which added to its sum of digits gives 1968676500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7318366 + ... + 7318634.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^1968676500 is an apocalyptic number.

1968676500 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 1968676500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

1968676500 is an abundant number, since it is smaller than the sum of its proper divisors (5164092780).

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

1968676500 is a wasteful number, since it uses less digits than its factorization.

1968676500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1968676500 is about 44369.7701143470. The cubic root of 1968676500 is about 1253.3088866201.

The spelling of 1968676500 in words is "one billion, nine hundred sixty-eight million, six hundred seventy-six thousand, five hundred".