1963440000 has 480 divisors, whose sum is σ = 7394226840. Its totient is φ = 518400000.

The previous prime is 1963439981. The next prime is 1963440043. The reversal of 1963440000 is 443691.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439950 + ... + 19440050.

Almost surely, 2^1963440000 is an apocalyptic number.

1963440000 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 1963440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697113420).

1963440000 is an abundant number, since it is smaller than the sum of its proper divisors (5430786840).

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

1963440000 is an frugal number, since it uses more digits than its factorization.

1963440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1963440000 is about 44310.7210503282. The cubic root of 1963440000 is about 1252.1966707820.

Adding to 1963440000 its reverse (443691), we get a palindrome (1963883691).

The spelling of 1963440000 in words is "one billion, nine hundred sixty-three million, four hundred forty thousand".