36160266240 has 784 divisors, whose sum is σ = 149556081888. Its totient is φ = 8217427968.

The previous prime is 36160266227. The next prime is 36160266251. The reversal of 36160266240 is 4266206163.

36160266240 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 0 + 26 + 624 + 0 = 666.

It is a super-3 number, since 3×36160266240³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36160266195 and 36160266204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018794 + ... + 209018966.

Almost surely, 2^36160266240 is an apocalyptic number.

36160266240 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 36160266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74778040944).

36160266240 is an abundant number, since it is smaller than the sum of its proper divisors (113395815648).

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

36160266240 is an frugal number, since it uses more digits than its factorization.

36160266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 36160266240 in words is "thirty-six billion, one hundred sixty million, two hundred sixty-six thousand, two hundred forty".