463545720538560 has 672 divisors, whose sum is σ = 1831127130443520. Its totient is φ = 106446746419200.

The previous prime is 463545720538529. The next prime is 463545720538561. The reversal of 463545720538560 is 65835027545364.

463545720538560 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 4 + 572 + 0 + 5 + 3 + 8 + 56 + 0 = 666.

It is a super-2 number, since 2×463545720538560² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463545720538561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5201146159 + ... + 5201235281.

It is an arithmetic number, because the mean of its divisors is an integer number (2724891563160).

Almost surely, 2^{463545720538560} is an apocalyptic number.

463545720538560 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 463545720538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915563565221760).

463545720538560 is an abundant number, since it is smaller than the sum of its proper divisors (1367581409904960).

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

463545720538560 is a wasteful number, since it uses less digits than its factorization.

463545720538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97817 (or 97804 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 63.

The spelling of 463545720538560 in words is "four hundred sixty-three trillion, five hundred forty-five billion, seven hundred twenty million, five hundred thirty-eight thousand, five hundred sixty".