1968430464 has 512 divisors, whose sum is σ = 7814016000. Its totient is φ = 471121920.

The previous prime is 1968430427. The next prime is 1968430481. The reversal of 1968430464 is 4640348691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459172 + ... + 3459740.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^1968430464 is an apocalyptic number.

1968430464 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 1968430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907008000).

1968430464 is an abundant number, since it is smaller than the sum of its proper divisors (5845585536).

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

1968430464 is a wasteful number, since it uses less digits than its factorization.

1968430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1968430464 is about 44366.9974643315. The cubic root of 1968430464 is about 1253.2566735467.

The spelling of 1968430464 in words is "one billion, nine hundred sixty-eight million, four hundred thirty thousand, four hundred sixty-four".