464366465825472 has 448 divisors, whose sum is σ = 1565543508480000. Its totient is φ = 132219872169984.

The previous prime is 464366465825443. The next prime is 464366465825503. The reversal of 464366465825472 is 274528564663464.

464366465825472 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 66 + 46 + 58 + 2 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 464366465825472.

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, 7552239913 + ... + 7552301399.

It is an arithmetic number, because the mean of its divisors is an integer number (3494516760000).

Almost surely, 2^{464366465825472} is an apocalyptic number.

464366465825472 is a gapful number since it is divisible by the number (42) 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 464366465825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782771754240000).

464366465825472 is an abundant number, since it is smaller than the sum of its proper divisors (1101177042654528).

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

464366465825472 is a wasteful number, since it uses less digits than its factorization.

464366465825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63653 (or 63637 counting only the distinct ones).

The product of its digits is 5573836800, while the sum is 72.

The spelling of 464366465825472 in words is "four hundred sixty-four trillion, three hundred sixty-six billion, four hundred sixty-five million, eight hundred twenty-five thousand, four hundred seventy-two".