1968627472 has 80 divisors (see below), whose sum is σ = 4764552192. Its totient is φ = 768430080.

The previous prime is 1968627469. The next prime is 1968627473. The reversal of 1968627472 is 2747268691.

It is a super-2 number, since 2×1968627472² = 7750988247026221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1968627473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42348 + ... + 75700.

Almost surely, 2^1968627472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968627472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382276096).

1968627472 is an abundant number, since it is smaller than the sum of its proper divisors (2795924720).

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

1968627472 is a wasteful number, since it uses less digits than its factorization.

1968627472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33416 (or 33410 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 1968627472 is about 44369.2176176231. The cubic root of 1968627472 is about 1253.2984823819.

The spelling of 1968627472 in words is "one billion, nine hundred sixty-eight million, six hundred twenty-seven thousand, four hundred seventy-two".