641045102066700 has 288 divisors, whose sum is σ = 1915409457073728. Its totient is φ = 165407090688000.

The previous prime is 641045102066687. The next prime is 641045102066723. The reversal of 641045102066700 is 7660201540146.

641045102066700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641045102066700² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4987798440 + ... + 4987926960.

It is an arithmetic number, because the mean of its divisors is an integer number (6650727281506).

Almost surely, 2^{641045102066700} is an apocalyptic number.

641045102066700 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 641045102066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957704728536864).

641045102066700 is an abundant number, since it is smaller than the sum of its proper divisors (1274364355007028).

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

641045102066700 is a wasteful number, since it uses less digits than its factorization.

641045102066700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131053 (or 131046 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 641045102066700 in words is "six hundred forty-one trillion, forty-five billion, one hundred two million, sixty-six thousand, seven hundred".