641888000000 has 336 divisors, whose sum is σ = 1728835683120. Its totient is φ = 236851200000.

The previous prime is 641887999981. The next prime is 641888000009. The reversal of 641888000000 is 888146.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 641888000000 = 1800³ + 8600³ = 4650³ + 8150³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641888000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 415999229 + ... + 416000771.

It is an arithmetic number, because the mean of its divisors is an integer number (5145344295).

Almost surely, 2^641888000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864417841560).

641888000000 is an abundant number, since it is smaller than the sum of its proper divisors (1086947683120).

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

641888000000 is an frugal number, since it uses more digits than its factorization.

641888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

Adding to 641888000000 its reverse (888146), we get a palindrome (641888888146).

The spelling of 641888000000 in words is "six hundred forty-one billion, eight hundred eighty-eight million", and thus it is an aban number.