463626626364 has 384 divisors, whose sum is σ = 1413821122560. Its totient is φ = 129823948800.

The previous prime is 463626626341. The next prime is 463626626369.

463626626364 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 2 + 6 + 626 + 3 + 6 + 4 = 666.

463626626364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (26873856) is a multiple of the sum of its prime factors (1458).

It is a self number, because there is not a number n which added to its sum of digits gives 463626626364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463626626369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448815192 + ... + 448816224.

It is an arithmetic number, because the mean of its divisors is an integer number (3681825840).

Almost surely, 2^463626626364 is an apocalyptic number.

463626626364 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 463626626364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706910561280).

463626626364 is an abundant number, since it is smaller than the sum of its proper divisors (950194496196).

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

463626626364 is a wasteful number, since it uses less digits than its factorization.

463626626364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1450 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 463626626364 in words is "four hundred sixty-three billion, six hundred twenty-six million, six hundred twenty-six thousand, three hundred sixty-four".