8241456721680 has 1440 divisors, whose sum is σ = 36174416189184. Its totient is φ = 1728356216832.

The previous prime is 8241456721643. The next prime is 8241456721699. The reversal of 8241456721680 is 861276541428.

8241456721680 is a `hidden beast` number, since 8 + 2 + 4 + 14 + 567 + 2 + 1 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2142305517 + ... + 2142309363.

Almost surely, 2^{8241456721680} is an apocalyptic number.

8241456721680 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 8241456721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087208094592).

8241456721680 is an abundant number, since it is smaller than the sum of its proper divisors (27932959467504).

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

8241456721680 is a wasteful number, since it uses less digits than its factorization.

8241456721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8241456721680 in words is "eight trillion, two hundred forty-one billion, four hundred fifty-six million, seven hundred twenty-one thousand, six hundred eighty".