1963648000 has 264 divisors, whose sum is σ = 5297717880. Its totient is φ = 725401600.

The previous prime is 1963647991. The next prime is 1963648003. The reversal of 1963648000 is 8463691.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 1885643776 = 8832^2 + 43424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963648003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67711986 + ... + 67712014.

Almost surely, 2^1963648000 is an apocalyptic number.

1963648000 is a gapful number since it is divisible by the number (10) 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 1963648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648858940).

1963648000 is an abundant number, since it is smaller than the sum of its proper divisors (3334069880).

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

1963648000 is an equidigital number, since it uses as much as digits as its factorization.

1963648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1963648000 is about 44313.0680499556. The cubic root of 1963648000 is about 1252.2408870064.

The spelling of 1963648000 in words is "one billion, nine hundred sixty-three million, six hundred forty-eight thousand".