1963957919616 has 768 divisors, whose sum is σ = 7677090547200. Its totient is φ = 480093143040.

The previous prime is 1963957919611. The next prime is 1963957919683. The reversal of 1963957919616 is 6169197593691.

1963957919616 is a `hidden beast` number, since 1 + 9 + 6 + 39 + 579 + 1 + 9 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963957919611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76893600 + ... + 76919136.

It is an arithmetic number, because the mean of its divisors is an integer number (9996211650).

Almost surely, 2^{1963957919616} is an apocalyptic number.

1963957919616 is a gapful number since it is divisible by the number (16) 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 1963957919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838545273600).

1963957919616 is an abundant number, since it is smaller than the sum of its proper divisors (5713132627584).

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

1963957919616 is a wasteful number, since it uses less digits than its factorization.

1963957919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25612 (or 25577 counting only the distinct ones).

The product of its digits is 148803480, while the sum is 72.

The spelling of 1963957919616 in words is "one trillion, nine hundred sixty-three billion, nine hundred fifty-seven million, nine hundred nineteen thousand, six hundred sixteen".