16607813040 has 600 divisors, whose sum is σ = 70166394480. Its totient is φ = 3499324416.

The previous prime is 16607813011. The next prime is 16607813071. The reversal of 16607813040 is 4031870661.

16607813040 is a `hidden beast` number, since 1 + 6 + 607 + 8 + 1 + 3 + 0 + 40 = 666.

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 = 16607812986 and 16607813004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22472991 + ... + 22473729.

Almost surely, 2^16607813040 is an apocalyptic number.

16607813040 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 16607813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35083197240).

16607813040 is an abundant number, since it is smaller than the sum of its proper divisors (53558581440).

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

16607813040 is a wasteful number, since it uses less digits than its factorization.

16607813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16607813040 in words is "sixteen billion, six hundred seven million, eight hundred thirteen thousand, forty".