606123722880 has 1152 divisors, whose sum is σ = 2462373884880. Its totient is φ = 136447524864.

The previous prime is 606123722873. The next prime is 606123722921. The reversal of 606123722880 is 88227321606.

606123722880 is a `hidden beast` number, since 6 + 0 + 612 + 3 + 7 + 2 + 28 + 8 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 58606599744 + 547517123136 = 242088^2 + 739944^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×606123722880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800691462 + ... + 800692218.

Almost surely, 2^606123722880 is an apocalyptic number.

606123722880 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 606123722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231186942440).

606123722880 is an abundant number, since it is smaller than the sum of its proper divisors (1856250162000).

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

606123722880 is a wasteful number, since it uses less digits than its factorization.

606123722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 606123722880 in words is "six hundred six billion, one hundred twenty-three million, seven hundred twenty-two thousand, eight hundred eighty".