1468769648640 has 960 divisors, whose sum is σ = 5564748833280. Its totient is φ = 323884154880.

The previous prime is 1468769648639. The next prime is 1468769648641. The reversal of 1468769648640 is 468469678641.

It is an interprime number because it is at equal distance from previous prime (1468769648639) and next prime (1468769648641).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (1468769648641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8114749350 + ... + 8114749530.

It is an arithmetic number, because the mean of its divisors is an integer number (5796613368).

Almost surely, 2^{1468769648640} is an apocalyptic number.

1468769648640 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 1468769648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782374416640).

1468769648640 is an abundant number, since it is smaller than the sum of its proper divisors (4095979184640).

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

1468769648640 is an equidigital number, since it uses as much as digits as its factorization.

1468769648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 1468769648640 in words is "one trillion, four hundred sixty-eight billion, seven hundred sixty-nine million, six hundred forty-eight thousand, six hundred forty".