641148324000 has 768 divisors, whose sum is σ = 2245290098688. Its totient is φ = 159667200000.

The previous prime is 641148323993. The next prime is 641148324053. The reversal of 641148324000 is 423841146.

It is a super-2 number, since 2×641148324000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1937003835 + ... + 1937004165.

It is an arithmetic number, because the mean of its divisors is an integer number (2923554816).

Almost surely, 2^641148324000 is an apocalyptic number.

641148324000 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 641148324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122645049344).

641148324000 is an abundant number, since it is smaller than the sum of its proper divisors (1604141774688).

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

641148324000 is a wasteful number, since it uses less digits than its factorization.

641148324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 641148324000 in words is "six hundred forty-one billion, one hundred forty-eight million, three hundred twenty-four thousand".