467721127764 has 96 divisors (see below), whose sum is σ = 1322983159680. Its totient is φ = 141719155200.

The previous prime is 467721127763. The next prime is 467721127879.

It is a happy number.

467721127764 is a `hidden beast` number, since 467 + 7 + 2 + 112 + 7 + 7 + 64 = 666.

467721127764 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 467721127764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467721127763) 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 31 ways as a sum of consecutive naturals, for example, 19662582 + ... + 19686354.

It is an arithmetic number, because the mean of its divisors is an integer number (13781074580).

Almost surely, 2^467721127764 is an apocalyptic number.

467721127764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

467721127764 is an abundant number, since it is smaller than the sum of its proper divisors (855262031916).

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

467721127764 is a wasteful number, since it uses less digits than its factorization.

467721127764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40358 (or 40350 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 467721127764 in words is "four hundred sixty-seven billion, seven hundred twenty-one million, one hundred twenty-seven thousand, seven hundred sixty-four".