640587241542528 has 1280 divisors, whose sum is σ = 2323976878080000. Its totient is φ = 174876482027520.

The previous prime is 640587241542503. The next prime is 640587241542529. The reversal of 640587241542528 is 825245142785046.

640587241542528 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 87 + 2 + 4 + 1 + 542 + 5 + 2 + 8 = 666.

It is a super-3 number, since 3×640587241542528³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640587241542529) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8709155800 + ... + 8709229352.

It is an arithmetic number, because the mean of its divisors is an integer number (1815606936000).

Almost surely, 2^{640587241542528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640587241542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161988439040000).

640587241542528 is an abundant number, since it is smaller than the sum of its proper divisors (1683389636537472).

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

640587241542528 is an equidigital number, since it uses as much as digits as its factorization.

640587241542528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73710 (or 73675 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 63.

The spelling of 640587241542528 in words is "six hundred forty trillion, five hundred eighty-seven billion, two hundred forty-one million, five hundred forty-two thousand, five hundred twenty-eight".