463918129920 has 1440 divisors, whose sum is σ = 2115510566400. Its totient is φ = 94500421632.

The previous prime is 463918129861. The next prime is 463918129921. The reversal of 463918129920 is 29921819364.

463918129920 is a `hidden beast` number, since 46 + 391 + 8 + 129 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (463918129921) 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, 234419491 + ... + 234421469.

It is an arithmetic number, because the mean of its divisors is an integer number (1469104560).

Almost surely, 2^463918129920 is an apocalyptic number.

463918129920 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 463918129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057755283200).

463918129920 is an abundant number, since it is smaller than the sum of its proper divisors (1651592436480).

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

463918129920 is a wasteful number, since it uses less digits than its factorization.

463918129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 463918129920 in words is "four hundred sixty-three billion, nine hundred eighteen million, one hundred twenty-nine thousand, nine hundred twenty".