436486064640 has 160 divisors (see below), whose sum is σ = 1398915999360. Its totient is φ = 116102283264.

The previous prime is 436486064629. The next prime is 436486064737. The reversal of 436486064640 is 46460684634.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 2977381 + ... + 3120539.

It is an arithmetic number, because the mean of its divisors is an integer number (8743224996).

Almost surely, 2^436486064640 is an apocalyptic number.

436486064640 is a gapful number since it is divisible by the number (40) 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 436486064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699457999680).

436486064640 is an abundant number, since it is smaller than the sum of its proper divisors (962429934720).

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

436486064640 is a wasteful number, since it uses less digits than its factorization.

436486064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143582 (or 143566 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 436486064640 in words is "four hundred thirty-six billion, four hundred eighty-six million, sixty-four thousand, six hundred forty".