641332541520 has 240 divisors, whose sum is σ = 2358759154752. Its totient is φ = 154869104640.

The previous prime is 641332541519. The next prime is 641332541527. The reversal of 641332541520 is 25145233146.

641332541520 is a `hidden beast` number, since 6 + 41 + 33 + 25 + 41 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×641332541520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641332541527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877899 + ... + 2192981.

Almost surely, 2^641332541520 is an apocalyptic number.

641332541520 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 641332541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179379577376).

641332541520 is an abundant number, since it is smaller than the sum of its proper divisors (1717426613232).

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

641332541520 is a wasteful number, since it uses less digits than its factorization.

641332541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315370 (or 315361 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 641332541520 its reverse (25145233146), we get a palindrome (666477774666).

The spelling of 641332541520 in words is "six hundred forty-one billion, three hundred thirty-two million, five hundred forty-one thousand, five hundred twenty".