464536635464 has 64 divisors (see below), whose sum is σ = 969216364800. Its totient is φ = 206946273600.

The previous prime is 464536635443. The next prime is 464536635491.

464536635464 is nontrivially palindromic in base 10.

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, 1583399 + ... + 1853705.

It is an arithmetic number, because the mean of its divisors is an integer number (15144005700).

Almost surely, 2^464536635464 is an apocalyptic number.

464536635464 is a gapful number since it is divisible by the number (44) 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 464536635464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484608182400).

464536635464 is an abundant number, since it is smaller than the sum of its proper divisors (504679729336).

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

464536635464 is a wasteful number, since it uses less digits than its factorization.

464536635464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270714 (or 270710 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

The spelling of 464536635464 in words is "four hundred sixty-four billion, five hundred thirty-six million, six hundred thirty-five thousand, four hundred sixty-four".