467380800000 has 960 divisors, whose sum is σ = 1790135424000. Its totient is φ = 120268800000.

The previous prime is 467380799989. The next prime is 467380800013. The reversal of 467380800000 is 8083764.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1339199826 + ... + 1339200174.

It is an arithmetic number, because the mean of its divisors is an integer number (1864724400).

Almost surely, 2^467380800000 is an apocalyptic number.

467380800000 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 467380800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895067712000).

467380800000 is an abundant number, since it is smaller than the sum of its proper divisors (1322754624000).

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

467380800000 is an frugal number, since it uses more digits than its factorization.

467380800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 467380800000 its reverse (8083764), we get a palindrome (467388883764).

The spelling of 467380800000 in words is "four hundred sixty-seven billion, three hundred eighty million, eight hundred thousand".