640642275471000 has 768 divisors, whose sum is σ = 2280452481216000. Its totient is φ = 148488768384000.

The previous prime is 640642275470963. The next prime is 640642275471001. The reversal of 640642275471000 is 174572246046.

It is a super-3 number, since 3×640642275471000³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640642275471001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47116436202 + ... + 47116449798.

It is an arithmetic number, because the mean of its divisors is an integer number (2969339168250).

Almost surely, 2^{640642275471000} is an apocalyptic number.

640642275471000 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 640642275471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140226240608000).

640642275471000 is an abundant number, since it is smaller than the sum of its proper divisors (1639810205745000).

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

640642275471000 is a wasteful number, since it uses less digits than its factorization.

640642275471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16340 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 640642275471000 in words is "six hundred forty trillion, six hundred forty-two billion, two hundred seventy-five million, four hundred seventy-one thousand".