641007071100 has 432 divisors, whose sum is σ = 2340042790176. Its totient is φ = 146250086400.

The previous prime is 641007071099. The next prime is 641007071179. The reversal of 641007071100 is 1170700146.

641007071100 is a `hidden beast` number, since 641 + 0 + 0 + 7 + 0 + 7 + 1 + 10 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20348562 + ... + 20380038.

It is an arithmetic number, because the mean of its divisors is an integer number (5416765718).

Almost surely, 2^641007071100 is an apocalyptic number.

641007071100 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 641007071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170021395088).

641007071100 is an abundant number, since it is smaller than the sum of its proper divisors (1699035719076).

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

641007071100 is a wasteful number, since it uses less digits than its factorization.

641007071100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31547 (or 31515 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 641007071100 its reverse (1170700146), we get a palindrome (642177771246).

The spelling of 641007071100 in words is "six hundred forty-one billion, seven million, seventy-one thousand, one hundred".