641862221760 has 1568 divisors, whose sum is σ = 2625087025152. Its totient is φ = 148463124480.

The previous prime is 641862221719. The next prime is 641862221773. The reversal of 641862221760 is 67122268146.

641862221760 is a `hidden beast` number, since 6 + 4 + 1 + 8 + 622 + 2 + 17 + 6 + 0 = 666.

It is a super-2 number, since 2×641862221760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2827586767 + ... + 2827586993.

Almost surely, 2^641862221760 is an apocalyptic number.

641862221760 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 641862221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312543512576).

641862221760 is an abundant number, since it is smaller than the sum of its proper divisors (1983224803392).

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

641862221760 is a wasteful number, since it uses less digits than its factorization.

641862221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 641862221760 in words is "six hundred forty-one billion, eight hundred sixty-two million, two hundred twenty-one thousand, seven hundred sixty".