641967110400 has 2592 divisors, whose sum is σ = 2948920007040. Its totient is φ = 121110528000.

The previous prime is 641967110357. The next prime is 641967110467. The reversal of 641967110400 is 4011769146.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7213113556 + ... + 7213113644.

It is an arithmetic number, because the mean of its divisors is an integer number (1137700620).

Almost surely, 2^641967110400 is an apocalyptic number.

641967110400 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 641967110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474460003520).

641967110400 is an abundant number, since it is smaller than the sum of its proper divisors (2306952896640).

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

641967110400 is a wasteful number, since it uses less digits than its factorization.

641967110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 641967110400 its reverse (4011769146), we get a palindrome (645978879546).

The spelling of 641967110400 in words is "six hundred forty-one billion, nine hundred sixty-seven million, one hundred ten thousand, four hundred".