467871270507200 has 672 divisors, whose sum is σ = 1413565916169600. Its totient is φ = 148764748677120.

The previous prime is 467871270507181. The next prime is 467871270507227. The reversal of 467871270507200 is 2705072178764.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14858229056 + ... + 14858260544.

Almost surely, 2^{467871270507200} is an apocalyptic number.

467871270507200 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 467871270507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706782958084800).

467871270507200 is an abundant number, since it is smaller than the sum of its proper divisors (945694645662400).

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

467871270507200 is a wasteful number, since it uses less digits than its factorization.

467871270507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32677 (or 32662 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 56.

The spelling of 467871270507200 in words is "four hundred sixty-seven trillion, eight hundred seventy-one billion, two hundred seventy million, five hundred seven thousand, two hundred".