1968307548480 has 672 divisors, whose sum is σ = 8340637713408. Its totient is φ = 414885888000.

The previous prime is 1968307548463. The next prime is 1968307548481. The reversal of 1968307548480 is 848457038691.

1968307548480 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 3 + 0 + 7 + 548 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968307548481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322617430 + ... + 322623530.

It is an arithmetic number, because the mean of its divisors is an integer number (12411663264).

Almost surely, 2^{1968307548480} is an apocalyptic number.

1968307548480 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 1968307548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170318856704).

1968307548480 is an abundant number, since it is smaller than the sum of its proper divisors (6372330164928).

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

1968307548480 is a wasteful number, since it uses less digits than its factorization.

1968307548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1968307548480 in words is "one trillion, nine hundred sixty-eight billion, three hundred seven million, five hundred forty-eight thousand, four hundred eighty".