464320513360 has 80 divisors (see below), whose sum is σ = 1180085308992. Its totient is φ = 168499788800.

The previous prime is 464320513357. The next prime is 464320513367. The reversal of 464320513360 is 63315023464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464320513367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105229 + ... + 969388.

Almost surely, 2^464320513360 is an apocalyptic number.

464320513360 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 464320513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590042654496).

464320513360 is an abundant number, since it is smaller than the sum of its proper divisors (715764795632).

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

464320513360 is a wasteful number, since it uses less digits than its factorization.

464320513360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075132 (or 1075126 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 464320513360 in words is "four hundred sixty-four billion, three hundred twenty million, five hundred thirteen thousand, three hundred sixty".