8197604144640 has 480 divisors, whose sum is σ = 29503659144960. Its totient is φ = 2181458386944.

The previous prime is 8197604144633. The next prime is 8197604144641. The reversal of 8197604144640 is 464414067918.

8197604144640 is a `hidden beast` number, since 8 + 1 + 97 + 60 + 414 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8197604144641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302939431 + ... + 302966489.

It is an arithmetic number, because the mean of its divisors is an integer number (61465956552).

Almost surely, 2^{8197604144640} is an apocalyptic number.

8197604144640 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 8197604144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751829572480).

8197604144640 is an abundant number, since it is smaller than the sum of its proper divisors (21306055000320).

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

8197604144640 is an equidigital number, since it uses as much as digits as its factorization.

8197604144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27584 (or 27556 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8197604144640 in words is "eight trillion, one hundred ninety-seven billion, six hundred four million, one hundred forty-four thousand, six hundred forty".