1468382576640 has 456 divisors, whose sum is σ = 5466686023152. Its totient is φ = 335586263040.

The previous prime is 1468382576627. The next prime is 1468382576723. The reversal of 1468382576640 is 466752838641.

It is a happy number.

It is a super-2 number, since 2×1468382576640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192672030 + ... + 192679650.

It is an arithmetic number, because the mean of its divisors is an integer number (11988346542).

Almost surely, 2^{1468382576640} is an apocalyptic number.

1468382576640 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 1468382576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733343011576).

1468382576640 is an abundant number, since it is smaller than the sum of its proper divisors (3998303446512).

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

1468382576640 is an frugal number, since it uses more digits than its factorization.

1468382576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 1468382576640 in words is "one trillion, four hundred sixty-eight billion, three hundred eighty-two million, five hundred seventy-six thousand, six hundred forty".