8741786849280 has 624 divisors, whose sum is σ = 32951143905264. Its totient is φ = 2134691020800.

The previous prime is 8741786849227. The next prime is 8741786849309. The reversal of 8741786849280 is 829486871478.

8741786849280 is a `hidden beast` number, since 8 + 7 + 4 + 1 + 78 + 68 + 492 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 448492732416 + 8293294116864 = 669696^2 + 2879808^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8741786849199 and 8741786849208.

It is an unprimeable number.

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, 115899580 + ... + 115974980.

It is an arithmetic number, because the mean of its divisors is an integer number (52806320361).

Almost surely, 2^{8741786849280} is an apocalyptic number.

8741786849280 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 8741786849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475571952632).

8741786849280 is an abundant number, since it is smaller than the sum of its proper divisors (24209357055984).

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

8741786849280 is a wasteful number, since it uses less digits than its factorization.

8741786849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75490 (or 75465 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 8741786849280 in words is "eight trillion, seven hundred forty-one billion, seven hundred eighty-six million, eight hundred forty-nine thousand, two hundred eighty".