464527725464 has 128 divisors (see below), whose sum is σ = 1005903360000. Its totient is φ = 198894833280.

The previous prime is 464527725439. The next prime is 464527725481.

464527725464 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 31 ways as a sum of consecutive naturals, for example, 251502989 + ... + 251504835.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620000).

Almost surely, 2^464527725464 is an apocalyptic number.

464527725464 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 464527725464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680000).

464527725464 is an abundant number, since it is smaller than the sum of its proper divisors (541375634536).

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

464527725464 is a wasteful number, since it uses less digits than its factorization.

464527725464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2657 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 56.

The spelling of 464527725464 in words is "four hundred sixty-four billion, five hundred twenty-seven million, seven hundred twenty-five thousand, four hundred sixty-four".