16776833040 has 240 divisors, whose sum is σ = 63126513216. Its totient is φ = 3957120000.

The previous prime is 16776832997. The next prime is 16776833041. The reversal of 16776833040 is 4033867761.

16776833040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16776833041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 264415 + ... + 321665.

Almost surely, 2^16776833040 is an apocalyptic number.

16776833040 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 16776833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31563256608).

16776833040 is an abundant number, since it is smaller than the sum of its proper divisors (46349680176).

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

16776833040 is a wasteful number, since it uses less digits than its factorization.

16776833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57318 (or 57309 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16776833040 in words is "sixteen billion, seven hundred seventy-six million, eight hundred thirty-three thousand, forty".