606906743040 has 1080 divisors, whose sum is σ = 2476643178240. Its totient is φ = 141452034048.

The previous prime is 606906743017. The next prime is 606906743057. The reversal of 606906743040 is 40347609606.

606906743040 is a `hidden beast` number, since 60 + 69 + 0 + 67 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 332915569 + ... + 332917391.

It is an arithmetic number, because the mean of its divisors is an integer number (2293188128).

Almost surely, 2^606906743040 is an apocalyptic number.

606906743040 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 606906743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238321589120).

606906743040 is an abundant number, since it is smaller than the sum of its proper divisors (1869736435200).

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

606906743040 is a wasteful number, since it uses less digits than its factorization.

606906743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 606906743040 in words is "six hundred six billion, nine hundred six million, seven hundred forty-three thousand, forty".