8397241712640 has 1824 divisors, whose sum is σ = 34340714614080. Its totient is φ = 1943304929280.

The previous prime is 8397241712609. The next prime is 8397241712681. The reversal of 8397241712640 is 462171427938.

8397241712640 is a `hidden beast` number, since 8 + 39 + 72 + 417 + 126 + 4 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 158438522854 + ... + 158438522906.

It is an arithmetic number, because the mean of its divisors is an integer number (18827146170).

Almost surely, 2^{8397241712640} is an apocalyptic number.

8397241712640 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 8397241712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170357307040).

8397241712640 is an abundant number, since it is smaller than the sum of its proper divisors (25943472901440).

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

8397241712640 is an equidigital number, since it uses as much as digits as its factorization.

8397241712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 8397241712640 in words is "eight trillion, three hundred ninety-seven billion, two hundred forty-one million, seven hundred twelve thousand, six hundred forty".