463120868160 has 672 divisors, whose sum is σ = 1703083898880. Its totient is φ = 115255996416.

The previous prime is 463120868123. The next prime is 463120868233. The reversal of 463120868160 is 61868021364.

463120868160 is a `hidden beast` number, since 4 + 631 + 2 + 0 + 8 + 6 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637029717 + ... + 637030443.

It is an arithmetic number, because the mean of its divisors is an integer number (2534351040).

Almost surely, 2^463120868160 is an apocalyptic number.

463120868160 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 463120868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851541949440).

463120868160 is an abundant number, since it is smaller than the sum of its proper divisors (1239963030720).

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

463120868160 is a wasteful number, since it uses less digits than its factorization.

463120868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 463120868160 in words is "four hundred sixty-three billion, one hundred twenty million, eight hundred sixty-eight thousand, one hundred sixty".