16774490880 has 720 divisors, whose sum is σ = 71051238720. Its totient is φ = 3697311744.

The previous prime is 16774490849. The next prime is 16774490897. The reversal of 16774490880 is 8809447761.

It is a happy number.

16774490880 is a `hidden beast` number, since 1 + 6 + 7 + 74 + 490 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21046642 + ... + 21047438.

It is an arithmetic number, because the mean of its divisors is an integer number (98682276).

Almost surely, 2^16774490880 is an apocalyptic number.

16774490880 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 16774490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35525619360).

16774490880 is an abundant number, since it is smaller than the sum of its proper divisors (54276747840).

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

16774490880 is an equidigital number, since it uses as much as digits as its factorization.

16774490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 16774490880 in words is "sixteen billion, seven hundred seventy-four million, four hundred ninety thousand, eight hundred eighty".