641352412500 has 864 divisors, whose sum is σ = 2166053363712. Its totient is φ = 147206400000.

The previous prime is 641352412457. The next prime is 641352412537. The reversal of 641352412500 is 5214253146.

It is a super-2 number, since 2×641352412500² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7727137459 + ... + 7727137541.

It is an arithmetic number, because the mean of its divisors is an integer number (2507006208).

Almost surely, 2^641352412500 is an apocalyptic number.

641352412500 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 641352412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083026681856).

641352412500 is an abundant number, since it is smaller than the sum of its proper divisors (1524700951212).

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

641352412500 is a wasteful number, since it uses less digits than its factorization.

641352412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 641352412500 its reverse (5214253146), we get a palindrome (646566665646).

The spelling of 641352412500 in words is "six hundred forty-one billion, three hundred fifty-two million, four hundred twelve thousand, five hundred".