9413600587776 has 1248 divisors, whose sum is σ = 35487482075136. Its totient is φ = 2333343744000.

The previous prime is 9413600587687. The next prime is 9413600587789. The reversal of 9413600587776 is 6777850063149.

9413600587776 is a `hidden beast` number, since 9 + 4 + 13 + 600 + 5 + 8 + 7 + 7 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5469842596 + ... + 5469844316.

It is an arithmetic number, because the mean of its divisors is an integer number (28435482432).

Almost surely, 2^{9413600587776} is an apocalyptic number.

9413600587776 is a gapful number since it is divisible by the number (96) 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 9413600587776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743741037568).

9413600587776 is an abundant number, since it is smaller than the sum of its proper divisors (26073881487360).

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

9413600587776 is a wasteful number, since it uses less digits than its factorization.

9413600587776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 9413600587776 in words is "nine trillion, four hundred thirteen billion, six hundred million, five hundred eighty-seven thousand, seven hundred seventy-six".