36117716040 has 384 divisors, whose sum is σ = 140879831040. Its totient is φ = 7846046208.

The previous prime is 36117716029. The next prime is 36117716051. The reversal of 36117716040 is 4061771163.

36117716040 is a `hidden beast` number, since 36 + 1 + 17 + 7 + 1 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36117716029) and next prime (36117716051).

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 = 36117715986 and 36117716004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9445569 + ... + 9449391.

It is an arithmetic number, because the mean of its divisors is an integer number (366874560).

Almost surely, 2^36117716040 is an apocalyptic number.

36117716040 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 36117716040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70439915520).

36117716040 is an abundant number, since it is smaller than the sum of its proper divisors (104762115000).

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

36117716040 is a wasteful number, since it uses less digits than its factorization.

36117716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 36117716040 in words is "thirty-six billion, one hundred seventeen million, seven hundred sixteen thousand, forty".