646095771025920 has 720 divisors, whose sum is σ = 2465015081937408. Its totient is φ = 162157324861440.

The previous prime is 646095771025907. The next prime is 646095771025921. The reversal of 646095771025920 is 29520177590646.

646095771025920 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 9 + 577 + 1 + 0 + 2 + 59 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (646095771025921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177984225 + ... + 181578015.

Almost surely, 2^{646095771025920} is an apocalyptic number.

646095771025920 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 646095771025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232507540968704).

646095771025920 is an abundant number, since it is smaller than the sum of its proper divisors (1818919310911488).

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

646095771025920 is an equidigital number, since it uses as much as digits as its factorization.

646095771025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593863 (or 3593818 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 646095771025920 in words is "six hundred forty-six trillion, ninety-five billion, seven hundred seventy-one million, twenty-five thousand, nine hundred twenty".