1968758064 has 360 divisors, whose sum is σ = 6997885440. Its totient is φ = 515144448.

The previous prime is 1968758063. The next prime is 1968758081. The reversal of 1968758064 is 4608578691.

It is a self number, because there is not a number n which added to its sum of digits gives 1968758064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968758063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15501969 + ... + 15502095.

Almost surely, 2^1968758064 is an apocalyptic number.

1968758064 is a gapful number since it is divisible by the number (14) 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 1968758064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498942720).

1968758064 is an abundant number, since it is smaller than the sum of its proper divisors (5029127376).

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

1968758064 is a wasteful number, since it uses less digits than its factorization.

1968758064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1968758064 is about 44370.6892441395. The cubic root of 1968758064 is about 1253.3261949445.

The spelling of 1968758064 in words is "one billion, nine hundred sixty-eight million, seven hundred fifty-eight thousand, sixty-four".