641303677056 has 192 divisors, whose sum is σ = 2006667216000. Its totient is φ = 180909840384.

The previous prime is 641303677051. The next prime is 641303677103. The reversal of 641303677056 is 650776303146.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×641303677056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 641303676996 and 641303677014.

It is not an unprimeable number, because it can be changed into a prime (641303677051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270750 + ... + 1702178.

It is an arithmetic number, because the mean of its divisors is an integer number (10451391750).

Almost surely, 2^641303677056 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 641303677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003333608000).

641303677056 is an abundant number, since it is smaller than the sum of its proper divisors (1365363538944).

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

641303677056 is a wasteful number, since it uses less digits than its factorization.

641303677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431539 (or 431520 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 641303677056 in words is "six hundred forty-one billion, three hundred three million, six hundred seventy-seven thousand, fifty-six".