606053024640 has 1024 divisors, whose sum is σ = 2687198976000. Its totient is φ = 125869621248.

The previous prime is 606053024593. The next prime is 606053024659. The reversal of 606053024640 is 46420350606.

606053024640 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 5 + 3 + 0 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 606053024595 and 606053024604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59628199 + ... + 59638361.

It is an arithmetic number, because the mean of its divisors is an integer number (2624217750).

Almost surely, 2^606053024640 is an apocalyptic number.

606053024640 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 606053024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343599488000).

606053024640 is an abundant number, since it is smaller than the sum of its proper divisors (2081145951360).

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

606053024640 is a wasteful number, since it uses less digits than its factorization.

606053024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 606053024640 in words is "six hundred six billion, fifty-three million, twenty-four thousand, six hundred forty".