463427405760 has 672 divisors, whose sum is σ = 1662294928896. Its totient is φ = 109267558400.

The previous prime is 463427405741. The next prime is 463427405783. The reversal of 463427405760 is 67504724364.

463427405760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 684530542 + ... + 684531218.

It is an arithmetic number, because the mean of its divisors is an integer number (2473653168).

Almost surely, 2^463427405760 is an apocalyptic number.

463427405760 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 463427405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831147464448).

463427405760 is an abundant number, since it is smaller than the sum of its proper divisors (1198867523136).

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

463427405760 is a wasteful number, since it uses less digits than its factorization.

463427405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 463427405760 in words is "four hundred sixty-three billion, four hundred twenty-seven million, four hundred five thousand, seven hundred sixty".