641628289695744 has 2176 divisors, whose sum is σ = 2190161933084160. Its totient is φ = 186577657528320.

The previous prime is 641628289695721. The next prime is 641628289695793. The reversal of 641628289695744 is 447596982826146.

641628289695744 is a `hidden beast` number, since 6 + 4 + 16 + 2 + 8 + 28 + 9 + 6 + 9 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2826556342159 + ... + 2826556342385.

Almost surely, 2^{641628289695744} is an apocalyptic number.

641628289695744 is a gapful number since it is divisible by the number (64) 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 641628289695744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095080966542080).

641628289695744 is an abundant number, since it is smaller than the sum of its proper divisors (1548533643388416).

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

641628289695744 is an frugal number, since it uses more digits than its factorization.

641628289695744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 323 counting only the distinct ones).

The product of its digits is 10032906240, while the sum is 81.

The spelling of 641628289695744 in words is "six hundred forty-one trillion, six hundred twenty-eight billion, two hundred eighty-nine million, six hundred ninety-five thousand, seven hundred forty-four".