1968945408 has 216 divisors, whose sum is σ = 6083074816. Its totient is φ = 634521600.

The previous prime is 1968945379. The next prime is 1968945431. The reversal of 1968945408 is 8045498691.

1968945408 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 94 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1927938 + ... + 1928958.

Almost surely, 2^1968945408 is an apocalyptic number.

1968945408 is a gapful number since it is divisible by the number (18) 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 1968945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041537408).

1968945408 is an abundant number, since it is smaller than the sum of its proper divisors (4114129408).

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

1968945408 is an equidigital number, since it uses as much as digits as its factorization.

1968945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1968945408 is about 44372.8003173115. The cubic root of 1968945408 is about 1253.3659485502.

It can be divided in two parts, 1968 and 945408, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 1968945408 in words is "one billion, nine hundred sixty-eight million, nine hundred forty-five thousand, four hundred eight".