465734080000 has 800 divisors, whose sum is σ = 1448104458240. Its totient is φ = 145981440000.

The previous prime is 465734079989. The next prime is 465734080033. The reversal of 465734080000 is 80437564.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1319359824 + ... + 1319360176.

Almost surely, 2^465734080000 is an apocalyptic number.

465734080000 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 465734080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724052229120).

465734080000 is an abundant number, since it is smaller than the sum of its proper divisors (982370378240).

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

465734080000 is an equidigital number, since it uses as much as digits as its factorization.

465734080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 465734080000 in words is "four hundred sixty-five billion, seven hundred thirty-four million, eighty thousand".