463374473364 has 192 divisors, whose sum is σ = 1361689056000. Its totient is φ = 134980231680.

The previous prime is 463374473291. The next prime is 463374473369.

463374473364 is a `hidden beast` number, since 46 + 3 + 3 + 74 + 473 + 3 + 64 = 666.

463374473364 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 self number, because there is not a number n which added to its sum of digits gives 463374473364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463374473369) 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 63 ways as a sum of consecutive naturals, for example, 7860142 + ... + 7918874.

It is an arithmetic number, because the mean of its divisors is an integer number (7092130500).

Almost surely, 2^463374473364 is an apocalyptic number.

463374473364 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 463374473364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680844528000).

463374473364 is an abundant number, since it is smaller than the sum of its proper divisors (898314582636).

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

463374473364 is a wasteful number, since it uses less digits than its factorization.

463374473364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59015 (or 59007 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 54.

The spelling of 463374473364 in words is "four hundred sixty-three billion, three hundred seventy-four million, four hundred seventy-three thousand, three hundred sixty-four".