463701775680 has 2016 divisors, whose sum is σ = 2082363558912. Its totient is φ = 97223639040.

The previous prime is 463701775639. The next prime is 463701775699. The reversal of 463701775680 is 86577107364.

463701775680 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 0 + 1 + 77 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2079380049 + ... + 2079380271.

It is an arithmetic number, because the mean of its divisors is an integer number (1032918432).

Almost surely, 2^463701775680 is an apocalyptic number.

463701775680 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 463701775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041181779456).

463701775680 is an abundant number, since it is smaller than the sum of its proper divisors (1618661783232).

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

463701775680 is a wasteful number, since it uses less digits than its factorization.

463701775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 463701775680 in words is "four hundred sixty-three billion, seven hundred one million, seven hundred seventy-five thousand, six hundred eighty".