641113276672 has 216 divisors, whose sum is σ = 1494547147800. Its totient is φ = 273747640320.

The previous prime is 641113276649. The next prime is 641113276697. The reversal of 641113276672 is 276672311146.

It can be written as a sum of positive squares in 4 ways, for example, as 287021633536 + 354091643136 = 535744^2 + 595056^2 .

It is a super-2 number, since 2×641113276672² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33227604 + ... + 33246892.

Almost surely, 2^641113276672 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 641113276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747273573900).

641113276672 is an abundant number, since it is smaller than the sum of its proper divisors (853433871128).

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

641113276672 is a wasteful number, since it uses less digits than its factorization.

641113276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19393 (or 19368 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The spelling of 641113276672 in words is "six hundred forty-one billion, one hundred thirteen million, two hundred seventy-six thousand, six hundred seventy-two".