463379973364 has 192 divisors, whose sum is σ = 1093190515200. Its totient is φ = 166348062720.

The previous prime is 463379973361. The next prime is 463379973403.

463379973364 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×463379973364³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463379973296 and 463379973305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463379973361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52360812 + ... + 52369660.

It is an arithmetic number, because the mean of its divisors is an integer number (5693700600).

Almost surely, 2^463379973364 is an apocalyptic number.

463379973364 is a gapful number since it is divisible by the number (44) 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 463379973364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546595257600).

463379973364 is an abundant number, since it is smaller than the sum of its proper divisors (629810541836).

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

463379973364 is a wasteful number, since it uses less digits than its factorization.

463379973364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9096 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 64.

It can be divided in two parts, 4633 and 79973364, that added together give a palindrome (79977997).

The spelling of 463379973364 in words is "four hundred sixty-three billion, three hundred seventy-nine million, nine hundred seventy-three thousand, three hundred sixty-four".