463030771710760 has 256 divisors, whose sum is σ = 1255994841830400. Its totient is φ = 151688205926400.

The previous prime is 463030771710733. The next prime is 463030771710781. The reversal of 463030771710760 is 67017177030364.

It is a junction number, because it is equal to n+sod(n) for n = 463030771710698 and 463030771710707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2010481 + ... + 30497599.

It is an arithmetic number, because the mean of its divisors is an integer number (4906229850900).

Almost surely, 2^{463030771710760} is an apocalyptic number.

463030771710760 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 463030771710760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627997420915200).

463030771710760 is an abundant number, since it is smaller than the sum of its proper divisors (792964070119640).

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

463030771710760 is a wasteful number, since it uses less digits than its factorization.

463030771710760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28487252 (or 28487248 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 52.

The spelling of 463030771710760 in words is "four hundred sixty-three trillion, thirty billion, seven hundred seventy-one million, seven hundred ten thousand, seven hundred sixty".