464636636464 has 240 divisors, whose sum is σ = 1233418868640. Its totient is φ = 166677073920.

The previous prime is 464636636423. The next prime is 464636636473.

464636636464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 464636636399 and 464636636408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45848742 + ... + 45858874.

It is an arithmetic number, because the mean of its divisors is an integer number (5139245286).

Almost surely, 2^464636636464 is an apocalyptic number.

464636636464 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 464636636464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616709434320).

464636636464 is an abundant number, since it is smaller than the sum of its proper divisors (768782232176).

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

464636636464 is a wasteful number, since it uses less digits than its factorization.

464636636464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10575 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 58.

The spelling of 464636636464 in words is "four hundred sixty-four billion, six hundred thirty-six million, six hundred thirty-six thousand, four hundred sixty-four".