467307666228480 has 3456 divisors, whose sum is σ = 1987875080110080. Its totient is φ = 92409569280000.

The previous prime is 467307666228413. The next prime is 467307666228497. The reversal of 467307666228480 is 84822666703764.

It is a super-2 number, since 2×467307666228480² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1346707971667 + ... + 1346707972013.

It is an arithmetic number, because the mean of its divisors is an integer number (575195335680).

Almost surely, 2^{467307666228480} is an apocalyptic number.

467307666228480 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 467307666228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993937540055040).

467307666228480 is an abundant number, since it is smaller than the sum of its proper divisors (1520567413881600).

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

467307666228480 is a wasteful number, since it uses less digits than its factorization.

467307666228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 69.

The spelling of 467307666228480 in words is "four hundred sixty-seven trillion, three hundred seven billion, six hundred sixty-six million, two hundred twenty-eight thousand, four hundred eighty".