464063360464 has 120 divisors (see below), whose sum is σ = 998886004704. Its totient is φ = 208682284800.

The previous prime is 464063360443. The next prime is 464063360503.

It is a happy number.

464063360464 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256246119 + ... + 256247929.

Almost surely, 2^464063360464 is an apocalyptic number.

464063360464 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 464063360464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499443002352).

464063360464 is an abundant number, since it is smaller than the sum of its proper divisors (534822644240).

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

464063360464 is a wasteful number, since it uses less digits than its factorization.

464063360464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 464063360464 in words is "four hundred sixty-four billion, sixty-three million, three hundred sixty thousand, four hundred sixty-four".