465063787776 has 288 divisors, whose sum is σ = 1450619670528. Its totient is φ = 129512448000.

The previous prime is 465063787753. The next prime is 465063787777. The reversal of 465063787776 is 677787360564.

It is a super-3 number, since 3×465063787776³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465063787777) 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 31 ways as a sum of consecutive naturals, for example, 63417006 + ... + 63424338.

It is an arithmetic number, because the mean of its divisors is an integer number (5036873856).

Almost surely, 2^465063787776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465063787776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725309835264).

465063787776 is an abundant number, since it is smaller than the sum of its proper divisors (985555882752).

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

465063787776 is a wasteful number, since it uses less digits than its factorization.

465063787776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 66.

The spelling of 465063787776 in words is "four hundred sixty-five billion, sixty-three million, seven hundred eighty-seven thousand, seven hundred seventy-six".