641242624000 has 416 divisors, whose sum is σ = 1789057513152. Its totient is φ = 227409920000.

The previous prime is 641242623961. The next prime is 641242624003. The reversal of 641242624000 is 426242146.

It is a happy number.

It is a super-2 number, since 2×641242624000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641242624003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230910612 + ... + 230913388.

It is an arithmetic number, because the mean of its divisors is an integer number (4300619022).

Almost surely, 2^641242624000 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 641242624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894528756576).

641242624000 is an abundant number, since it is smaller than the sum of its proper divisors (1147814889152).

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

641242624000 is a wasteful number, since it uses less digits than its factorization.

641242624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 641242624000 its reverse (426242146), we get a palindrome (641668866146).

The spelling of 641242624000 in words is "six hundred forty-one billion, two hundred forty-two million, six hundred twenty-four thousand".