663414912 has 96 divisors (see below), whose sum is σ = 1936172160. Its totient is φ = 217996800.

The previous prime is 663414907. The next prime is 663414979. The reversal of 663414912 is 219414366.

663414912 is a `hidden beast` number, since 6 + 634 + 1 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77737 + ... + 85847.

It is an arithmetic number, because the mean of its divisors is an integer number (20168460).

Almost surely, 2^663414912 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 663414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968086080).

663414912 is an abundant number, since it is smaller than the sum of its proper divisors (1272757248).

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

663414912 is a wasteful number, since it uses less digits than its factorization.

663414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8187 counting only the distinct ones).

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

The square root of 663414912 is about 25756.8420424554. The cubic root of 663414912 is about 872.1578144918.

It can be divided in two parts, 66341 and 4912, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 663414912 in words is "six hundred sixty-three million, four hundred fourteen thousand, nine hundred twelve".