463672230125832 has 640 divisors, whose sum is σ = 1684104325263360. Its totient is φ = 115834678248960.

The previous prime is 463672230125831. The next prime is 463672230125939. The reversal of 463672230125832 is 238521032276364.

463672230125832 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 7 + 22 + 30 + 1 + 2 + 583 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (463672230125831) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138035607 + ... + 141354777.

It is an arithmetic number, because the mean of its divisors is an integer number (2631413008224).

Almost surely, 2^{463672230125832} is an apocalyptic number.

463672230125832 is a gapful number since it is divisible by the number (42) 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 463672230125832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842052162631680).

463672230125832 is an abundant number, since it is smaller than the sum of its proper divisors (1220432095137528).

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

463672230125832 is a wasteful number, since it uses less digits than its factorization.

463672230125832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319335 (or 3319322 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 463672230125832 in words is "four hundred sixty-three trillion, six hundred seventy-two billion, two hundred thirty million, one hundred twenty-five thousand, eight hundred thirty-two".