464085580464 has 320 divisors, whose sum is σ = 1564774848000. Its totient is φ = 130114805760.

The previous prime is 464085580457. The next prime is 464085580477.

464085580464 is a `hidden beast` number, since 4 + 6 + 40 + 8 + 558 + 0 + 46 + 4 = 666.

464085580464 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 464085580464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4717572 + ... + 4814940.

It is an arithmetic number, because the mean of its divisors is an integer number (4889921400).

Almost surely, 2^464085580464 is an apocalyptic number.

464085580464 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 464085580464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782387424000).

464085580464 is an abundant number, since it is smaller than the sum of its proper divisors (1100689267536).

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

464085580464 is a wasteful number, since it uses less digits than its factorization.

464085580464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97473 (or 97461 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 464085580464 in words is "four hundred sixty-four billion, eighty-five million, five hundred eighty thousand, four hundred sixty-four".