5009966640 has 800 divisors, whose sum is σ = 21584154240. Its totient is φ = 1051066368.

The previous prime is 5009966629. The next prime is 5009966641. The reversal of 5009966640 is 466699005.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009966641) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 56291716 + ... + 56291804.

Almost surely, 2^5009966640 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 5009966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792077120).

5009966640 is an abundant number, since it is smaller than the sum of its proper divisors (16574187600).

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

5009966640 is a wasteful number, since it uses less digits than its factorization.

5009966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5009966640 is about 70781.1178210686. The cubic root of 5009966640 is about 1711.1113735624. Note that the first 3 decimals are identical.

The spelling of 5009966640 in words is "five billion, nine million, nine hundred sixty-six thousand, six hundred forty".