606405456720 has 1600 divisors, whose sum is σ = 2613432729600. Its totient is φ = 127335960576.

The previous prime is 606405456703. The next prime is 606405456731. The reversal of 606405456720 is 27654504606.

606405456720 is a `hidden beast` number, since 6 + 0 + 6 + 40 + 545 + 67 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4069835206 + ... + 4069835354.

It is an arithmetic number, because the mean of its divisors is an integer number (1633395456).

Almost surely, 2^606405456720 is an apocalyptic number.

606405456720 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 606405456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306716364800).

606405456720 is an abundant number, since it is smaller than the sum of its proper divisors (2007027272880).

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

606405456720 is a wasteful number, since it uses less digits than its factorization.

606405456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 606405456720 in words is "six hundred six billion, four hundred five million, four hundred fifty-six thousand, seven hundred twenty".