463693921920 has 448 divisors, whose sum is σ = 1707000051240. Its totient is φ = 120305295360.

The previous prime is 463693921903. The next prime is 463693921931. The reversal of 463693921920 is 29129396364.

463693921920 is a `hidden beast` number, since 4 + 6 + 3 + 69 + 392 + 192 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 338360929344 + 125332992576 = 581688^2 + 354024^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17249290 + ... + 17276150.

Almost surely, 2^463693921920 is an apocalyptic number.

463693921920 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 463693921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853500025620).

463693921920 is an abundant number, since it is smaller than the sum of its proper divisors (1243306129320).

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

463693921920 is an equidigital number, since it uses as much as digits as its factorization.

463693921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26935 (or 26908 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 463693921920 in words is "four hundred sixty-three billion, six hundred ninety-three million, nine hundred twenty-one thousand, nine hundred twenty".