1968806653632 has 1344 divisors, whose sum is σ = 7738567200000. Its totient is φ = 463743221760.

The previous prime is 1968806653589. The next prime is 1968806653651. The reversal of 1968806653632 is 2363566088691.

1968806653632 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 8 + 0 + 66 + 536 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1968806653632.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1576305744 + ... + 1576306992.

It is an arithmetic number, because the mean of its divisors is an integer number (5757862500).

Almost surely, 2^{1968806653632} is an apocalyptic number.

1968806653632 is a gapful number since it is divisible by the number (12) 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 1968806653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869283600000).

1968806653632 is an abundant number, since it is smaller than the sum of its proper divisors (5769760546368).

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

1968806653632 is a wasteful number, since it uses less digits than its factorization.

1968806653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 1968806653632 in words is "one trillion, nine hundred sixty-eight billion, eight hundred six million, six hundred fifty-three thousand, six hundred thirty-two".