6409885950 has 144 divisors (see below), whose sum is σ = 19185959520. Its totient is φ = 1523370240.

The previous prime is 6409885931. The next prime is 6409885969. The reversal of 6409885950 is 595889046.

It is a happy number.

6409885950 is a `hidden beast` number, since 6 + 40 + 9 + 8 + 8 + 595 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6409885931) and next prime (6409885969).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150759 + ... + 188541.

It is an arithmetic number, because the mean of its divisors is an integer number (133235830).

Almost surely, 2^6409885950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409885950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592979760).

6409885950 is an abundant number, since it is smaller than the sum of its proper divisors (12776073570).

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

6409885950 is a wasteful number, since it uses less digits than its factorization.

6409885950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37843 (or 37835 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 6409885950 is about 80061.7633455572. The cubic root of 6409885950 is about 1857.5910107103.

The spelling of 6409885950 in words is "six billion, four hundred nine million, eight hundred eighty-five thousand, nine hundred fifty".