1663717968 has 140 divisors (see below), whose sum is σ = 5272736928. Its totient is φ = 504118080.

The previous prime is 1663717963. The next prime is 1663717973. The reversal of 1663717968 is 8697173661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1663717963) and next prime (1663717973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663717963) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 121821 + ... + 134787.

Almost surely, 2^1663717968 is an apocalyptic number.

1663717968 is a gapful number since it is divisible by the number (18) 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 1663717968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636368464).

1663717968 is an abundant number, since it is smaller than the sum of its proper divisors (3609018960).

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

1663717968 is a wasteful number, since it uses less digits than its factorization.

1663717968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004 (or 12983 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1663717968 is about 40788.6990231363. The cubic root of 1663717968 is about 1184.9314749671.

The spelling of 1663717968 in words is "one billion, six hundred sixty-three million, seven hundred seventeen thousand, nine hundred sixty-eight".