1963663488 has 192 divisors, whose sum is σ = 5814244800. Its totient is φ = 635910144.

The previous prime is 1963663483. The next prime is 1963663517. The reversal of 1963663488 is 8843663691.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1963663488² = 7711948588208652288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1963663483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11350570 + ... + 11350742.

It is an arithmetic number, because the mean of its divisors is an integer number (30282525).

Almost surely, 2^1963663488 is an apocalyptic number.

1963663488 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 1963663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907122400).

1963663488 is an abundant number, since it is smaller than the sum of its proper divisors (3850581312).

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

1963663488 is a wasteful number, since it uses less digits than its factorization.

1963663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1963663488 is about 44313.2428061861. The cubic root of 1963663488 is about 1252.2441792896.

The spelling of 1963663488 in words is "one billion, nine hundred sixty-three million, six hundred sixty-three thousand, four hundred eighty-eight".