434784816680 has 32 divisors (see below), whose sum is σ = 978873978600. Its totient is φ = 173805812736.

The previous prime is 434784816673. The next prime is 434784816743. The reversal of 434784816680 is 86618487434.

It can be written as a sum of positive squares in 4 ways, for example, as 429190075876 + 5594740804 = 655126^2 + 74798^2 .

It is a super-2 number, since 2×434784816680² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3313397 + ... + 3442116.

Almost surely, 2^434784816680 is an apocalyptic number.

434784816680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434784816680 is an abundant number, since it is smaller than the sum of its proper divisors (544089161920).

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

434784816680 is a wasteful number, since it uses less digits than its factorization.

434784816680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757133 (or 6757129 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 59.

The spelling of 434784816680 in words is "four hundred thirty-four billion, seven hundred eighty-four million, eight hundred sixteen thousand, six hundred eighty".