606380281920 has 560 divisors, whose sum is σ = 2594903583360. Its totient is φ = 131305660416.

The previous prime is 606380281919. The next prime is 606380281931. The reversal of 606380281920 is 29182083606.

606380281920 is a `hidden beast` number, since 6 + 0 + 638 + 0 + 2 + 8 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-4 number, since 4×606380281920⁴ (a number of 48 digits) contains 4444 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 79 ways as a sum of consecutive naturals, for example, 3359412 + ... + 3535308.

Almost surely, 2^606380281920 is an apocalyptic number.

606380281920 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 606380281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297451791680).

606380281920 is an abundant number, since it is smaller than the sum of its proper divisors (1988523301440).

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

606380281920 is a wasteful number, since it uses less digits than its factorization.

606380281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175952 (or 175933 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 606380281920 in words is "six hundred six billion, three hundred eighty million, two hundred eighty-one thousand, nine hundred twenty".