1968304665600 has 3696 divisors, whose sum is σ = 9632508618880. Its totient is φ = 386983526400.

The previous prime is 1968304665493. The next prime is 1968304665637. The reversal of 1968304665600 is 65664038691.

1968304665600 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 30 + 46 + 6 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 32267289570 + ... + 32267289630.

Almost surely, 2^{1968304665600} is an apocalyptic number.

1968304665600 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 1968304665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816254309440).

1968304665600 is an abundant number, since it is smaller than the sum of its proper divisors (7664203953280).

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

1968304665600 is a wasteful number, since it uses less digits than its factorization.

1968304665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

It can be divided in two parts, 196830 and 4665600, that multiplied together give a cube (918330048000 = 9720³).

The spelling of 1968304665600 in words is "one trillion, nine hundred sixty-eight billion, three hundred four million, six hundred sixty-five thousand, six hundred".