463743929376 has 864 divisors, whose sum is σ = 1724713518528. Its totient is φ = 121492224000.

The previous prime is 463743929371. The next prime is 463743929437. The reversal of 463743929376 is 673929347364.

463743929376 is a `hidden beast` number, since 46 + 3 + 7 + 439 + 2 + 93 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (463743929371) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1243281126 + ... + 1243281498.

It is an arithmetic number, because the mean of its divisors is an integer number (1996196202).

Almost surely, 2^463743929376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463743929376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862356759264).

463743929376 is an abundant number, since it is smaller than the sum of its proper divisors (1260969589152).

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

463743929376 is a wasteful number, since it uses less digits than its factorization.

463743929376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 649 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 63.

The spelling of 463743929376 in words is "four hundred sixty-three billion, seven hundred forty-three million, nine hundred twenty-nine thousand, three hundred seventy-six".