605855416320 has 1824 divisors, whose sum is σ = 2826619960320. Its totient is φ = 116266106880.

The previous prime is 605855416289. The next prime is 605855416367. The reversal of 605855416320 is 23614558506.

605855416320 is a `hidden beast` number, since 6 + 0 + 5 + 8 + 5 + 5 + 4 + 1 + 632 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 20891566066 + ... + 20891566094.

Almost surely, 2^605855416320 is an apocalyptic number.

605855416320 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 605855416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413309980160).

605855416320 is an abundant number, since it is smaller than the sum of its proper divisors (2220764544000).

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

605855416320 is a wasteful number, since it uses less digits than its factorization.

605855416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 605855416320 in words is "six hundred five billion, eight hundred fifty-five million, four hundred sixteen thousand, three hundred twenty".