16778090940 has 384 divisors, whose sum is σ = 54948741120. Its totient is φ = 3793305600.

The previous prime is 16778090939. The next prime is 16778090947. The reversal of 16778090940 is 4909087761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16778090947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49786452 + ... + 49786788.

It is an arithmetic number, because the mean of its divisors is an integer number (143095680).

Almost surely, 2^16778090940 is an apocalyptic number.

16778090940 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 16778090940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474370560).

16778090940 is an abundant number, since it is smaller than the sum of its proper divisors (38170650180).

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

16778090940 is a wasteful number, since it uses less digits than its factorization.

16778090940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 16778090940 in words is "sixteen billion, seven hundred seventy-eight million, ninety thousand, nine hundred forty".