18077020416 has 648 divisors, whose sum is σ = 66475969560. Its totient is φ = 4682022912.

The previous prime is 18077020411. The next prime is 18077020427. The reversal of 18077020416 is 61402077081.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 18063360000 = 3696^2 + 134400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18077020411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159973576 + ... + 159973688.

Almost surely, 2^18077020416 is an apocalyptic number.

18077020416 is a gapful number since it is divisible by the number (16) 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 18077020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33237984780).

18077020416 is an abundant number, since it is smaller than the sum of its proper divisors (48398949144).

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

18077020416 is a wasteful number, since it uses less digits than its factorization.

18077020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 18077020416 its reverse (61402077081), we get a palindrome (79479097497).

The spelling of 18077020416 in words is "eighteen billion, seventy-seven million, twenty thousand, four hundred sixteen".