8147745365760 has 4536 divisors, whose sum is σ = 40455420499872. Its totient is φ = 1537184563200.

The previous prime is 8147745365723. The next prime is 8147745365789. The reversal of 8147745365760 is 675635477418.

8147745365760 is a `hidden beast` number, since 8 + 1 + 4 + 7 + 7 + 4 + 53 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is a congruent number.

It is an unprimeable number.

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 503 ways as a sum of consecutive naturals, for example, 133569596130 + ... + 133569596190.

Almost surely, 2^{8147745365760} is an apocalyptic number.

8147745365760 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 8147745365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227710249936).

8147745365760 is an abundant number, since it is smaller than the sum of its proper divisors (32307675134112).

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

8147745365760 is a wasteful number, since it uses less digits than its factorization.

8147745365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 8147745365760 in words is "eight trillion, one hundred forty-seven billion, seven hundred forty-five million, three hundred sixty-five thousand, seven hundred sixty".