16017272640 has 224 divisors, whose sum is σ = 57433585920. Its totient is φ = 4201113600.

The previous prime is 16017272629. The next prime is 16017272671. The reversal of 16017272640 is 4627271061.

16017272640 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 7 + 2 + 7 + 2 + 640 = 666.

16017272640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16017272595 and 16017272604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511845 + ... + 542235.

Almost surely, 2^16017272640 is an apocalyptic number.

16017272640 is a gapful number since it is divisible by the number (10) 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 16017272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28716792960).

16017272640 is an abundant number, since it is smaller than the sum of its proper divisors (41416313280).

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

16017272640 is a wasteful number, since it uses less digits than its factorization.

16017272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30478 (or 30462 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 16017272640 in words is "sixteen billion, seventeen million, two hundred seventy-two thousand, six hundred forty".