1663756416 has 256 divisors, whose sum is σ = 5677728000. Its totient is φ = 469794816.

The previous prime is 1663756403. The next prime is 1663756417. The reversal of 1663756416 is 6146573661.

1663756416 is a `hidden beast` number, since 1 + 6 + 637 + 5 + 6 + 4 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1663756417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2346270 + ... + 2346978.

It is an arithmetic number, because the mean of its divisors is an integer number (22178625).

Almost surely, 2^1663756416 is an apocalyptic number.

1663756416 is a gapful number since it is divisible by the number (16) 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 1663756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838864000).

1663756416 is an abundant number, since it is smaller than the sum of its proper divisors (4013971584).

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

1663756416 is an equidigital number, since it uses as much as digits as its factorization.

1663756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1663756416 is about 40789.1703274288. The cubic root of 1663756416 is about 1184.9406026950.

The spelling of 1663756416 in words is "one billion, six hundred sixty-three million, seven hundred fifty-six thousand, four hundred sixteen".