1368948072960 has 320 divisors, whose sum is σ = 5236668581760. Its totient is φ = 336971612160.

The previous prime is 1368948072941. The next prime is 1368948073007. The reversal of 1368948072960 is 692708498631.

1368948072960 is a `hidden beast` number, since 1 + 3 + 6 + 89 + 480 + 72 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136815 + ... + 1660305.

It is an arithmetic number, because the mean of its divisors is an integer number (16364589318).

Almost surely, 2^{1368948072960} is an apocalyptic number.

1368948072960 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 1368948072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618334290880).

1368948072960 is an abundant number, since it is smaller than the sum of its proper divisors (3867720508800).

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

1368948072960 is a wasteful number, since it uses less digits than its factorization.

1368948072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523536 (or 1523514 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1368948072960 in words is "one trillion, three hundred sixty-eight billion, nine hundred forty-eight million, seventy-two thousand, nine hundred sixty".