606416912640 has 1296 divisors, whose sum is σ = 2687028664320. Its totient is φ = 124853944320.

The previous prime is 606416912617. The next prime is 606416912659. The reversal of 606416912640 is 46219614606.

It is a happy number.

606416912640 is a `hidden beast` number, since 606 + 4 + 16 + 9 + 1 + 26 + 4 + 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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 788578176 + ... + 788578944.

Almost surely, 2^606416912640 is an apocalyptic number.

606416912640 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 606416912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343514332160).

606416912640 is an abundant number, since it is smaller than the sum of its proper divisors (2080611751680).

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

606416912640 is a wasteful number, since it uses less digits than its factorization.

606416912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 606416912640 in words is "six hundred six billion, four hundred sixteen million, nine hundred twelve thousand, six hundred forty".