463851672480 has 576 divisors, whose sum is σ = 1909792684800. Its totient is φ = 100428097536.

The previous prime is 463851672463. The next prime is 463851672481. The reversal of 463851672480 is 84276158364.

It is a happy number.

463851672480 is a `hidden beast` number, since 4 + 6 + 3 + 85 + 16 + 72 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (463851672481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69135366 + ... + 69142074.

It is an arithmetic number, because the mean of its divisors is an integer number (3315612300).

Almost surely, 2^463851672480 is an apocalyptic number.

463851672480 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 463851672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954896342400).

463851672480 is an abundant number, since it is smaller than the sum of its proper divisors (1445941012320).

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

463851672480 is a wasteful number, since it uses less digits than its factorization.

463851672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 463851672480 in words is "four hundred sixty-three billion, eight hundred fifty-one million, six hundred seventy-two thousand, four hundred eighty".