463372013690880 has 448 divisors, whose sum is σ = 1698540520624128. Its totient is φ = 105661944299520.

The previous prime is 463372013690851. The next prime is 463372013690881. The reversal of 463372013690880 is 88096310273364.

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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463372013690881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361487569 + ... + 362767151.

Almost surely, 2^{463372013690880} is an apocalyptic number.

463372013690880 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 463372013690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849270260312064).

463372013690880 is an abundant number, since it is smaller than the sum of its proper divisors (1235168506933248).

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

463372013690880 is a wasteful number, since it uses less digits than its factorization.

463372013690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280045 (or 1280021 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 463372013690880 in words is "four hundred sixty-three trillion, three hundred seventy-two billion, thirteen million, six hundred ninety thousand, eight hundred eighty".