463463616000 has 2560 divisors, whose sum is σ = 2117898731520. Its totient is φ = 87048192000.

The previous prime is 463463615987. The next prime is 463463616073. The reversal of 463463616000 is 616364364.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a self number, because there is not a number n which added to its sum of digits gives 463463616000.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 9860927977 + ... + 9860928023.

It is an arithmetic number, because the mean of its divisors is an integer number (827304192).

Almost surely, 2^463463616000 is an apocalyptic number.

463463616000 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 463463616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058949365760).

463463616000 is an abundant number, since it is smaller than the sum of its proper divisors (1654435115520).

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

463463616000 is a wasteful number, since it uses less digits than its factorization.

463463616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 463463616000 in words is "four hundred sixty-three billion, four hundred sixty-three million, six hundred sixteen thousand".