8368744063680 has 2240 divisors, whose sum is σ = 40024424294400. Its totient is φ = 1602985697280.

The previous prime is 8368744063661. The next prime is 8368744063681. The reversal of 8368744063680 is 863604478638.

8368744063680 is a `hidden beast` number, since 8 + 3 + 6 + 87 + 440 + 6 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8368744063681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11511339477 + ... + 11511340203.

It is an arithmetic number, because the mean of its divisors is an integer number (17868046560).

Almost surely, 2^{8368744063680} is an apocalyptic number.

8368744063680 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 8368744063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012212147200).

8368744063680 is an abundant number, since it is smaller than the sum of its proper divisors (31655680230720).

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

8368744063680 is a wasteful number, since it uses less digits than its factorization.

8368744063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 8368744063680 in words is "eight trillion, three hundred sixty-eight billion, seven hundred forty-four million, sixty-three thousand, six hundred eighty".