465325781760 has 864 divisors, whose sum is σ = 1913490109440. Its totient is φ = 102184353792.

The previous prime is 465325781747. The next prime is 465325781807. The reversal of 465325781760 is 67187523564.

465325781760 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 2 + 578 + 1 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 465325781697 and 465325781706.

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, 247644501 + ... + 247646379.

Almost surely, 2^465325781760 is an apocalyptic number.

465325781760 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 465325781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956745054720).

465325781760 is an abundant number, since it is smaller than the sum of its proper divisors (1448164327680).

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

465325781760 is a wasteful number, since it uses less digits than its factorization.

465325781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 465325781760 in words is "four hundred sixty-five billion, three hundred twenty-five million, seven hundred eighty-one thousand, seven hundred sixty".