463788765000 has 720 divisors, whose sum is σ = 1816489474800. Its totient is φ = 106492320000.

The previous prime is 463788764983. The next prime is 463788765001. The reversal of 463788765000 is 567887364.

463788765000 is a `hidden beast` number, since 4 + 63 + 7 + 8 + 8 + 76 + 500 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (463788765001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 103452759 + ... + 103457241.

Almost surely, 2^463788765000 is an apocalyptic number.

463788765000 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 463788765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908244737400).

463788765000 is an abundant number, since it is smaller than the sum of its proper divisors (1352700709800).

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

463788765000 is a wasteful number, since it uses less digits than its factorization.

463788765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 463788765000 in words is "four hundred sixty-three billion, seven hundred eighty-eight million, seven hundred sixty-five thousand".