641133792 has 240 divisors, whose sum is σ = 2074675680. Its totient is φ = 193010688.

The previous prime is 641133791. The next prime is 641133799. The reversal of 641133792 is 297331146.

641133792 is a `hidden beast` number, since 641 + 1 + 3 + 3 + 7 + 9 + 2 = 666.

641133792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×641133792³ (a number of 27 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641133791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1785709 + ... + 1786067.

It is an arithmetic number, because the mean of its divisors is an integer number (8644482).

Almost surely, 2^641133792 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 641133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037337840).

641133792 is an abundant number, since it is smaller than the sum of its proper divisors (1433541888).

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

641133792 is a wasteful number, since it uses less digits than its factorization.

641133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 641133792 is about 25320.6198976249. The cubic root of 641133792 is about 862.2824676357.

The spelling of 641133792 in words is "six hundred forty-one million, one hundred thirty-three thousand, seven hundred ninety-two".