463816843680 has 192 divisors, whose sum is σ = 1470630712320. Its totient is φ = 122873511936.

The previous prime is 463816843649. The next prime is 463816843687. The reversal of 463816843680 is 86348618364.

It is a Cunningham number, because it is equal to 681041²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 463816843680.

It is not an unprimeable number, because it can be changed into a prime (463816843687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54479104 + ... + 54487616.

It is an arithmetic number, because the mean of its divisors is an integer number (7659534960).

Almost surely, 2^463816843680 is an apocalyptic number.

463816843680 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 463816843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735315356160).

463816843680 is an abundant number, since it is smaller than the sum of its proper divisors (1006813868640).

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

463816843680 is a wasteful number, since it uses less digits than its factorization.

463816843680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 463816843680 in words is "four hundred sixty-three billion, eight hundred sixteen million, eight hundred forty-three thousand, six hundred eighty".