107663574090240 has 3360 divisors, whose sum is σ = 469603781577216. Its totient is φ = 23567296757760.

The previous prime is 107663574090203. The next prime is 107663574090257. The reversal of 107663574090240 is 42090475366701.

107663574090240 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 6 + 357 + 40 + 9 + 0 + 240 = 666.

107663574090240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

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 335 ways as a sum of consecutive naturals, for example, 462075425164 + ... + 462075425396.

Almost surely, 2^{107663574090240} is an apocalyptic number.

107663574090240 is a gapful number since it is divisible by the number (10) 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 107663574090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234801890788608).

107663574090240 is an abundant number, since it is smaller than the sum of its proper divisors (361940207486976).

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

107663574090240 is an equidigital number, since it uses as much as digits as its factorization.

107663574090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 107663574090240 in words is "one hundred seven trillion, six hundred sixty-three billion, five hundred seventy-four million, ninety thousand, two hundred forty".