463111032960 has 384 divisors, whose sum is σ = 1660829002560. Its totient is φ = 123316162560.

The previous prime is 463111032959. The next prime is 463111032961. The reversal of 463111032960 is 69230111364.

463111032960 is a `hidden beast` number, since 4 + 6 + 311 + 10 + 329 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463111032959) and next prime (463111032961).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (463111032961) 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, 132656815 + ... + 132660305.

Almost surely, 2^463111032960 is an apocalyptic number.

463111032960 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 463111032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830414501280).

463111032960 is an abundant number, since it is smaller than the sum of its proper divisors (1197717969600).

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

463111032960 is an equidigital number, since it uses as much as digits as its factorization.

463111032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 463111032960 in words is "four hundred sixty-three billion, one hundred eleven million, thirty-two thousand, nine hundred sixty".