463776677364 has 192 divisors, whose sum is σ = 1467060940800. Its totient is φ = 110115348480.

The previous prime is 463776677339. The next prime is 463776677383.

463776677364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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

It is a junction number, because it is equal to n+sod(n) for n = 463776677295 and 463776677304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049812 + ... + 1424660.

It is an arithmetic number, because the mean of its divisors is an integer number (7640942400).

Almost surely, 2^463776677364 is an apocalyptic number.

463776677364 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 463776677364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733530470400).

463776677364 is an abundant number, since it is smaller than the sum of its proper divisors (1003284263436).

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

463776677364 is a wasteful number, since it uses less digits than its factorization.

463776677364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374990 (or 374988 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 66.

The spelling of 463776677364 in words is "four hundred sixty-three billion, seven hundred seventy-six million, six hundred seventy-seven thousand, three hundred sixty-four".