9787286049408 has 320 divisors, whose sum is σ = 34099684153920. Its totient is φ = 2728162529280.

The previous prime is 9787286049383. The next prime is 9787286049419. The reversal of 9787286049408 is 8049406827879.

9787286049408 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 2 + 8 + 604 + 9 + 4 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1331035 + ... + 4620197.

It is an arithmetic number, because the mean of its divisors is an integer number (106561512981).

Almost surely, 2^{9787286049408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9787286049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049842076960).

9787286049408 is an abundant number, since it is smaller than the sum of its proper divisors (24312398104512).

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

9787286049408 is a wasteful number, since it uses less digits than its factorization.

9787286049408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289237 (or 3289216 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 9787286049408 in words is "nine trillion, seven hundred eighty-seven billion, two hundred eighty-six million, forty-nine thousand, four hundred eight".