463686612480 has 960 divisors, whose sum is σ = 2049916796928. Its totient is φ = 97820835840.

The previous prime is 463686612461. The next prime is 463686612481. The reversal of 463686612480 is 84216686364.

463686612480 is a `hidden beast` number, since 46 + 3 + 68 + 6 + 61 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (463686612481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56605185 + ... + 56613375.

Almost surely, 2^463686612480 is an apocalyptic number.

463686612480 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 463686612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024958398464).

463686612480 is an abundant number, since it is smaller than the sum of its proper divisors (1586230184448).

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

463686612480 is an equidigital number, since it uses as much as digits as its factorization.

463686612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 463686612480 in words is "four hundred sixty-three billion, six hundred eighty-six million, six hundred twelve thousand, four hundred eighty".