467859767040 has 432 divisors, whose sum is σ = 1689303453600. Its totient is φ = 122616446976.

The previous prime is 467859766987. The next prime is 467859767059. The reversal of 467859767040 is 40767958764.

467859767040 is a `hidden beast` number, since 467 + 85 + 97 + 6 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×467859767040³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 120301416 + ... + 120305304.

Almost surely, 2^467859767040 is an apocalyptic number.

467859767040 is a gapful number since it is divisible by the number (40) 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 467859767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844651726800).

467859767040 is an abundant number, since it is smaller than the sum of its proper divisors (1221443686560).

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

467859767040 is an equidigital number, since it uses as much as digits as its factorization.

467859767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 467859767040 in words is "four hundred sixty-seven billion, eight hundred fifty-nine million, seven hundred sixty-seven thousand, forty".