641849040 has 480 divisors, whose sum is σ = 2646259200. Its totient is φ = 139087872.

The previous prime is 641848997. The next prime is 641849053. The reversal of 641849040 is 40948146.

It is a happy number.

641849040 is a `hidden beast` number, since 641 + 8 + 4 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 641848986 and 641849004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5680024 + ... + 5680136.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^641849040 is an apocalyptic number.

641849040 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 641849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323129600).

641849040 is an abundant number, since it is smaller than the sum of its proper divisors (2004410160).

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

641849040 is a wasteful number, since it uses less digits than its factorization.

641849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 641849040 is about 25334.7397855198. The cubic root of 641849040 is about 862.6030021915.

The spelling of 641849040 in words is "six hundred forty-one million, eight hundred forty-nine thousand, forty".