463740189120 has 1344 divisors, whose sum is σ = 1863167394816. Its totient is φ = 109048135680.

The previous prime is 463740189061. The next prime is 463740189191. The reversal of 463740189120 is 21981047364.

463740189120 is a `hidden beast` number, since 4 + 637 + 4 + 0 + 1 + 8 + 9 + 1 + 2 + 0 = 666.

463740189120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 2776887277 + ... + 2776887443.

It is an arithmetic number, because the mean of its divisors is an integer number (1386285264).

Almost surely, 2^463740189120 is an apocalyptic number.

463740189120 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 463740189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931583697408).

463740189120 is an abundant number, since it is smaller than the sum of its proper divisors (1399427205696).

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

463740189120 is a wasteful number, since it uses less digits than its factorization.

463740189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 463740189120 in words is "four hundred sixty-three billion, seven hundred forty million, one hundred eighty-nine thousand, one hundred twenty".