467604318720 has 1920 divisors, whose sum is σ = 2021676890112. Its totient is φ = 91039334400.

The previous prime is 467604318667. The next prime is 467604318721. The reversal of 467604318720 is 27813406764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 467604318720.

It is not an unprimeable number, because it can be changed into a prime (467604318721) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6585976285 + ... + 6585976355.

Almost surely, 2^467604318720 is an apocalyptic number.

467604318720 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 467604318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010838445056).

467604318720 is an abundant number, since it is smaller than the sum of its proper divisors (1554072571392).

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

467604318720 is a wasteful number, since it uses less digits than its factorization.

467604318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 467604318720 in words is "four hundred sixty-seven billion, six hundred four million, three hundred eighteen thousand, seven hundred twenty".