463019120640 has 576 divisors, whose sum is σ = 1687634676000. Its totient is φ = 121732595712.

The previous prime is 463019120639. The next prime is 463019120647. The reversal of 463019120640 is 46021910364.

463019120640 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 1 + 9 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 463019120595 and 463019120604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463019120647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181646086 + ... + 181648634.

Almost surely, 2^463019120640 is an apocalyptic number.

463019120640 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 463019120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843817338000).

463019120640 is an abundant number, since it is smaller than the sum of its proper divisors (1224615555360).

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

463019120640 is an equidigital number, since it uses as much as digits as its factorization.

463019120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 463019120640 in words is "four hundred sixty-three billion, nineteen million, one hundred twenty thousand, six hundred forty".