641906621952 has 320 divisors, whose sum is σ = 1862850394944. Its totient is φ = 195622338560.

The previous prime is 641906621899. The next prime is 641906621963. The reversal of 641906621952 is 259126609146.

It is a super-3 number, since 3×641906621952³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 641906621895 and 641906621904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275140978 + ... + 275143310.

Almost surely, 2^641906621952 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 641906621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931425197472).

641906621952 is an abundant number, since it is smaller than the sum of its proper divisors (1220943772992).

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

641906621952 is a wasteful number, since it uses less digits than its factorization.

641906621952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 641906621952 in words is "six hundred forty-one billion, nine hundred six million, six hundred twenty-one thousand, nine hundred fifty-two".