8417663493120 has 1320 divisors, whose sum is σ = 35203685939136. Its totient is φ = 1917752868864.

The previous prime is 8417663493089. The next prime is 8417663493247. The reversal of 8417663493120 is 213943667148.

8417663493120 is a `hidden beast` number, since 8 + 4 + 1 + 76 + 63 + 493 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9490037317 + ... + 9490038203.

Almost surely, 2^{8417663493120} is an apocalyptic number.

8417663493120 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 8417663493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601842969568).

8417663493120 is an abundant number, since it is smaller than the sum of its proper divisors (26786022446016).

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

8417663493120 is a wasteful number, since it uses less digits than its factorization.

8417663493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 8417663493120 in words is "eight trillion, four hundred seventeen billion, six hundred sixty-three million, four hundred ninety-three thousand, one hundred twenty".