641003267520 has 2688 divisors, whose sum is σ = 3170594949120. Its totient is φ = 118006087680.

The previous prime is 641003267477. The next prime is 641003267543. The reversal of 641003267520 is 25762300146.

641003267520 is a `hidden beast` number, since 6 + 4 + 100 + 3 + 26 + 7 + 520 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 4082823282 + ... + 4082823438.

Almost surely, 2^641003267520 is an apocalyptic number.

641003267520 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 641003267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585297474560).

641003267520 is an abundant number, since it is smaller than the sum of its proper divisors (2529591681600).

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

641003267520 is a wasteful number, since it uses less digits than its factorization.

641003267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 641003267520 its reverse (25762300146), we get a palindrome (666765567666).

The spelling of 641003267520 in words is "six hundred forty-one billion, three million, two hundred sixty-seven thousand, five hundred twenty".