16768088040 has 192 divisors, whose sum is σ = 58546514880. Its totient is φ = 3825817600.

The previous prime is 16768088027. The next prime is 16768088087. The reversal of 16768088040 is 4088086761.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212875 + ... + 280805.

It is an arithmetic number, because the mean of its divisors is an integer number (304929765).

Almost surely, 2^16768088040 is an apocalyptic number.

16768088040 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 16768088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29273257440).

16768088040 is an abundant number, since it is smaller than the sum of its proper divisors (41778426840).

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

16768088040 is a wasteful number, since it uses less digits than its factorization.

16768088040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67984 (or 67969 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 16768088040 in words is "sixteen billion, seven hundred sixty-eight million, eighty-eight thousand, forty".