467959838976 has 576 divisors, whose sum is σ = 1605237903360. Its totient is φ = 131717283840.

The previous prime is 467959838963. The next prime is 467959838977. The reversal of 467959838976 is 679838959764.

467959838976 is a `hidden beast` number, since 4 + 67 + 95 + 98 + 389 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 467959838895 and 467959838904.

It is not an unprimeable number, because it can be changed into a prime (467959838977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1504693861 + ... + 1504694171.

It is an arithmetic number, because the mean of its divisors is an integer number (2786871360).

Almost surely, 2^467959838976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467959838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802618951680).

467959838976 is an abundant number, since it is smaller than the sum of its proper divisors (1137278064384).

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

467959838976 is a wasteful number, since it uses less digits than its factorization.

467959838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 687 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

The spelling of 467959838976 in words is "four hundred sixty-seven billion, nine hundred fifty-nine million, eight hundred thirty-eight thousand, nine hundred seventy-six".