36181918080 has 1024 divisors, whose sum is σ = 162437529600. Its totient is φ = 7393075200.

The previous prime is 36181918067. The next prime is 36181918117. The reversal of 36181918080 is 8081918163.

36181918080 is a `hidden beast` number, since 3 + 618 + 19 + 18 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94469569 + ... + 94469951.

It is an arithmetic number, because the mean of its divisors is an integer number (158630400).

Almost surely, 2^36181918080 is an apocalyptic number.

36181918080 is a gapful number since it is divisible by the number (30) 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 36181918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81218764800).

36181918080 is an abundant number, since it is smaller than the sum of its proper divisors (126255611520).

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

36181918080 is a wasteful number, since it uses less digits than its factorization.

36181918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 36181918080 in words is "thirty-six billion, one hundred eighty-one million, nine hundred eighteen thousand, eighty".