465305580260064 has 672 divisors, whose sum is σ = 1464074989977600. Its totient is φ = 145261824906240.

The previous prime is 465305580260063. The next prime is 465305580260153. The reversal of 465305580260064 is 460062085503564.

465305580260064 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 0 + 558 + 0 + 26 + 0 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465305580260063) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3389419777 + ... + 3389557055.

It is an arithmetic number, because the mean of its divisors is an integer number (2178683020800).

Almost surely, 2^{465305580260064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465305580260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732037494988800).

465305580260064 is an abundant number, since it is smaller than the sum of its proper divisors (998769409717536).

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

465305580260064 is a wasteful number, since it uses less digits than its factorization.

465305580260064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137490 (or 137467 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 465305580260064 in words is "four hundred sixty-five trillion, three hundred five billion, five hundred eighty million, two hundred sixty thousand, sixty-four".