463364390880 has 288 divisors, whose sum is σ = 1665278727840. Its totient is φ = 117002465280.

The previous prime is 463364390873. The next prime is 463364390939. The reversal of 463364390880 is 88093463364.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92282770 + ... + 92287790.

It is an arithmetic number, because the mean of its divisors is an integer number (5782217805).

Almost surely, 2^463364390880 is an apocalyptic number.

463364390880 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 463364390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832639363920).

463364390880 is an abundant number, since it is smaller than the sum of its proper divisors (1201914336960).

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

463364390880 is a wasteful number, since it uses less digits than its factorization.

463364390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 463364390880 in words is "four hundred sixty-three billion, three hundred sixty-four million, three hundred ninety thousand, eight hundred eighty".