1663626624 has 192 divisors, whose sum is σ = 5092476480. Its totient is φ = 477158400.

The previous prime is 1663626583. The next prime is 1663626649. The reversal of 1663626624 is 4266263661.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524319 + ... + 1525409.

It is an arithmetic number, because the mean of its divisors is an integer number (26523315).

Almost surely, 2^1663626624 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 1663626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546238240).

1663626624 is an abundant number, since it is smaller than the sum of its proper divisors (3428849856).

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

1663626624 is a wasteful number, since it uses less digits than its factorization.

1663626624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1126 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 1663626624 is about 40787.5792858561. The cubic root of 1663626624 is about 1184.9097889275.

The spelling of 1663626624 in words is "one billion, six hundred sixty-three million, six hundred twenty-six thousand, six hundred twenty-four".