1963440610560 has 1728 divisors, whose sum is σ = 8384107979520. Its totient is φ = 417666170880.

The previous prime is 1963440610553. The next prime is 1963440610561. The reversal of 1963440610560 is 650160443691.

1963440610560 is a `hidden beast` number, since 1 + 9 + 6 + 34 + 40 + 6 + 10 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963440610561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3487460839 + ... + 3487461401.

It is an arithmetic number, because the mean of its divisors is an integer number (4851914340).

Almost surely, 2^{1963440610560} is an apocalyptic number.

1963440610560 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 1963440610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192053989760).

1963440610560 is an abundant number, since it is smaller than the sum of its proper divisors (6420667368960).

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

1963440610560 is a wasteful number, since it uses less digits than its factorization.

1963440610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1963440610560 in words is "one trillion, nine hundred sixty-three billion, four hundred forty million, six hundred ten thousand, five hundred sixty".