8468272221840 has 960 divisors, whose sum is σ = 31275608232960. Its totient is φ = 2125954252800.

The previous prime is 8468272221769. The next prime is 8468272221847. The reversal of 8468272221840 is 481222728648.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8468272221847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10625184322 + ... + 10625185118.

It is an arithmetic number, because the mean of its divisors is an integer number (32578758576).

Almost surely, 2^{8468272221840} is an apocalyptic number.

8468272221840 is a gapful number since it is divisible by the number (80) 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 8468272221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637804116480).

8468272221840 is an abundant number, since it is smaller than the sum of its proper divisors (22807336011120).

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

8468272221840 is a wasteful number, since it uses less digits than its factorization.

8468272221840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 8468272221840 in words is "eight trillion, four hundred sixty-eight billion, two hundred seventy-two million, two hundred twenty-one thousand, eight hundred forty".