16634007936 has 512 divisors, whose sum is σ = 60949324800. Its totient is φ = 4348919808.

The previous prime is 16634007917. The next prime is 16634007941. The reversal of 16634007936 is 63970043661.

16634007936 is a `hidden beast` number, since 1 + 6 + 634 + 0 + 0 + 7 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16634007891 and 16634007900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71390476 + ... + 71390708.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 2^16634007936 is an apocalyptic number.

16634007936 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 16634007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

16634007936 is an abundant number, since it is smaller than the sum of its proper divisors (44315316864).

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

16634007936 is a wasteful number, since it uses less digits than its factorization.

16634007936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 16634007936 in words is "sixteen billion, six hundred thirty-four million, seven thousand, nine hundred thirty-six".