463763925178560 has 560 divisors, whose sum is σ = 1673663951583360. Its totient is φ = 121878938787840.

The previous prime is 463763925178517. The next prime is 463763925178583. The reversal of 463763925178560 is 65871529367364.

It is a happy number.

463763925178560 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 6 + 3 + 9 + 2 + 51 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 1107585562 + ... + 1108004198.

It is a 1-persistent number, because it is pandigital, but 2⋅463763925178560 = 927527850357120 is not.

Almost surely, 2^{463763925178560} is an apocalyptic number.

463763925178560 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 463763925178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836831975791680).

463763925178560 is an abundant number, since it is smaller than the sum of its proper divisors (1209900026404800).

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

463763925178560 is a wasteful number, since it uses less digits than its factorization.

463763925178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419286 (or 419267 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 463763925178560 in words is "four hundred sixty-three trillion, seven hundred sixty-three billion, nine hundred twenty-five million, one hundred seventy-eight thousand, five hundred sixty".