463861096776 has 192 divisors, whose sum is σ = 1567365396480. Its totient is φ = 120400237440.

The previous prime is 463861096709. The next prime is 463861096801. The reversal of 463861096776 is 677690168364.

463861096776 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 610 + 9 + 6 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8215795 + ... + 8272061.

It is an arithmetic number, because the mean of its divisors is an integer number (8163361440).

Almost surely, 2^463861096776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463861096776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783682698240).

463861096776 is an abundant number, since it is smaller than the sum of its proper divisors (1103504299704).

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

463861096776 is a wasteful number, since it uses less digits than its factorization.

463861096776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57784 (or 57777 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 463861096776 in words is "four hundred sixty-three billion, eight hundred sixty-one million, ninety-six thousand, seven hundred seventy-six".