467928829764 has 72 divisors (see below), whose sum is σ = 1293666716160. Its totient is φ = 141432052800.

The previous prime is 467928829747. The next prime is 467928829807.

467928829764 is a `hidden beast` number, since 467 + 9 + 2 + 88 + 29 + 7 + 64 = 666.

467928829764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 467928829692 and 467928829701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364772 + ... + 1672859.

It is an arithmetic number, because the mean of its divisors is an integer number (17967593280).

Almost surely, 2^467928829764 is an apocalyptic number.

467928829764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

467928829764 is an abundant number, since it is smaller than the sum of its proper divisors (825737886396).

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

467928829764 is a wasteful number, since it uses less digits than its factorization.

467928829764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038041 (or 3038036 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 467928829764 in words is "four hundred sixty-seven billion, nine hundred twenty-eight million, eight hundred twenty-nine thousand, seven hundred sixty-four".