305013204640 has 192 divisors, whose sum is σ = 792704102400. Its totient is φ = 110390252544.

The previous prime is 305013204611. The next prime is 305013204673. The reversal of 305013204640 is 46402310503.

It is a super-3 number, since 3×305013204640³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305013204599 and 305013204608.

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 31 ways as a sum of consecutive naturals, for example, 51667929 + ... + 51673831.

It is an arithmetic number, because the mean of its divisors is an integer number (4128667200).

Almost surely, 2^305013204640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305013204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396352051200).

305013204640 is an abundant number, since it is smaller than the sum of its proper divisors (487690897760).

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

305013204640 is a wasteful number, since it uses less digits than its factorization.

305013204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 305013204640 in words is "three hundred five billion, thirteen million, two hundred four thousand, six hundred forty".