641006352000 has 2048 divisors, whose sum is σ = 2942981683200. Its totient is φ = 133772083200.

The previous prime is 641006351989. The next prime is 641006352011. The reversal of 641006352000 is 253600146.

641006352000 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 0 + 635 + 20 + 0 + 0 = 666.

641006352000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (641006351989) and next prime (641006352011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1902095832 + ... + 1902096168.

It is an arithmetic number, because the mean of its divisors is an integer number (1437002775).

Almost surely, 2^641006352000 is an apocalyptic number.

641006352000 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 641006352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471490841600).

641006352000 is an abundant number, since it is smaller than the sum of its proper divisors (2301975331200).

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

641006352000 is a wasteful number, since it uses less digits than its factorization.

641006352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 641006352000 its reverse (253600146), we get a palindrome (641259952146).

The spelling of 641006352000 in words is "six hundred forty-one billion, six million, three hundred fifty-two thousand".