16635407616 has 288 divisors, whose sum is σ = 51655968000. Its totient is φ = 5270740992.

The previous prime is 16635407603. The next prime is 16635407641. The reversal of 16635407616 is 61670453661.

16635407616 is a `hidden beast` number, since 1 + 6 + 635 + 4 + 0 + 7 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42764350 + ... + 42764738.

It is an arithmetic number, because the mean of its divisors is an integer number (179361000).

Almost surely, 2^16635407616 is an apocalyptic number.

16635407616 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 16635407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827984000).

16635407616 is an abundant number, since it is smaller than the sum of its proper divisors (35020560384).

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

16635407616 is a wasteful number, since it uses less digits than its factorization.

16635407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 686 counting only the distinct ones).

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

The spelling of 16635407616 in words is "sixteen billion, six hundred thirty-five million, four hundred seven thousand, six hundred sixteen".