640846252005120 has 720 divisors, whose sum is σ = 2674128523281600. Its totient is φ = 146479135186944.

The previous prime is 640846252005077. The next prime is 640846252005121. The reversal of 640846252005120 is 21500252648046.

640846252005120 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 4 + 625 + 2 + 0 + 0 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640846252005121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26552034 + ... + 44572446.

Almost surely, 2^{640846252005120} is an apocalyptic number.

640846252005120 is a gapful number since it is divisible by the number (60) 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 640846252005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337064261640800).

640846252005120 is an abundant number, since it is smaller than the sum of its proper divisors (2033282271276480).

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

640846252005120 is an equidigital number, since it uses as much as digits as its factorization.

640846252005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18020467 (or 18020430 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 640846252005120 in words is "six hundred forty trillion, eight hundred forty-six billion, two hundred fifty-two million, five thousand, one hundred twenty".