467937739764 has 144 divisors (see below), whose sum is σ = 1332260407296. Its totient is φ = 137250892800.

The previous prime is 467937739739. The next prime is 467937739777.

467937739764 is a `hidden beast` number, since 46 + 79 + 3 + 77 + 397 + 64 = 666.

467937739764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 467937739692 and 467937739701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948504 + ... + 2175440.

It is an arithmetic number, because the mean of its divisors is an integer number (9251808384).

Almost surely, 2^467937739764 is an apocalyptic number.

467937739764 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 467937739764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666130203648).

467937739764 is an abundant number, since it is smaller than the sum of its proper divisors (864322667532).

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

467937739764 is a wasteful number, since it uses less digits than its factorization.

467937739764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227126 (or 227121 counting only the distinct ones).

The product of its digits is 1008189504, while the sum is 72.

The spelling of 467937739764 in words is "four hundred sixty-seven billion, nine hundred thirty-seven million, seven hundred thirty-nine thousand, seven hundred sixty-four".