463764004441920 has 1344 divisors, whose sum is σ = 2124502903111680. Its totient is φ = 93594766712832.

The previous prime is 463764004441901. The next prime is 463764004441937. The reversal of 463764004441920 is 29144400467364.

463764004441920 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 6 + 4 + 0 + 0 + 444 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161326921 + ... + 164176439.

It is an arithmetic number, because the mean of its divisors is an integer number (1580731326720).

Almost surely, 2^{463764004441920} is an apocalyptic number.

463764004441920 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 463764004441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062251451555840).

463764004441920 is an abundant number, since it is smaller than the sum of its proper divisors (1660738898669760).

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

463764004441920 is a wasteful number, since it uses less digits than its factorization.

463764004441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849594 (or 2849572 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 463764004441920 in words is "four hundred sixty-three trillion, seven hundred sixty-four billion, four million, four hundred forty-one thousand, nine hundred twenty".