463734437364 has 96 divisors (see below), whose sum is σ = 1347020169600. Its totient is φ = 136727585280.

The previous prime is 463734437333. The next prime is 463734437429.

463734437364 is a `hidden beast` number, since 4 + 6 + 3 + 73 + 443 + 73 + 64 = 666.

463734437364 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 463734437364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5231029 + ... + 5318940.

It is an arithmetic number, because the mean of its divisors is an integer number (14031460100).

Almost surely, 2^463734437364 is an apocalyptic number.

463734437364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463734437364 is an abundant number, since it is smaller than the sum of its proper divisors (883285732236).

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

463734437364 is a wasteful number, since it uses less digits than its factorization.

463734437364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10550030 (or 10550022 counting only the distinct ones).

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

The spelling of 463734437364 in words is "four hundred sixty-three billion, seven hundred thirty-four million, four hundred thirty-seven thousand, three hundred sixty-four".