464773565377464 has 256 divisors, whose sum is σ = 1411750302842880. Its totient is φ = 124473416448000.

The previous prime is 464773565377463. The next prime is 464773565377543.

464773565377464 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 464773565377464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464773565377463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18167268817 + ... + 18167294399.

It is an arithmetic number, because the mean of its divisors is an integer number (5514649620480).

Almost surely, 2^{464773565377464} 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 464773565377464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705875151421440).

464773565377464 is an abundant number, since it is smaller than the sum of its proper divisors (946976737465416).

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

464773565377464 is a wasteful number, since it uses less digits than its factorization.

464773565377464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51210 (or 51206 counting only the distinct ones).

The product of its digits is 29872281600, while the sum is 78.

The spelling of 464773565377464 in words is "four hundred sixty-four trillion, seven hundred seventy-three billion, five hundred sixty-five million, three hundred seventy-seven thousand, four hundred sixty-four".