467233064320 has 256 divisors, whose sum is σ = 1243503705600. Its totient is φ = 166440140800.

The previous prime is 467233064281. The next prime is 467233064369. The reversal of 467233064320 is 23460332764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129175152 + ... + 129178768.

It is an arithmetic number, because the mean of its divisors is an integer number (4857436350).

Almost surely, 2^467233064320 is an apocalyptic number.

467233064320 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 467233064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621751852800).

467233064320 is an abundant number, since it is smaller than the sum of its proper divisors (776270641280).

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

467233064320 is a wasteful number, since it uses less digits than its factorization.

467233064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The spelling of 467233064320 in words is "four hundred sixty-seven billion, two hundred thirty-three million, sixty-four thousand, three hundred twenty".