463808496640 has 176 divisors, whose sum is σ = 1134650462400. Its totient is φ = 181864005632.

The previous prime is 463808496539. The next prime is 463808496667. The reversal of 463808496640 is 46694808364.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117507147 + ... + 117511093.

Almost surely, 2^463808496640 is an apocalyptic number.

463808496640 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 463808496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567325231200).

463808496640 is an abundant number, since it is smaller than the sum of its proper divisors (670841965760).

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

463808496640 is a wasteful number, since it uses less digits than its factorization.

463808496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 58.

The spelling of 463808496640 in words is "four hundred sixty-three billion, eight hundred eight million, four hundred ninety-six thousand, six hundred forty".