36179481600 has 528 divisors, whose sum is σ = 140722243200. Its totient is φ = 9077391360.

The previous prime is 36179481593. The next prime is 36179481607. The reversal of 36179481600 is 618497163.

It is a happy number.

36179481600 is a `hidden beast` number, since 36 + 1 + 7 + 9 + 4 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (36179481593) and next prime (36179481607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36179481607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11748861 + ... + 11751939.

It is an arithmetic number, because the mean of its divisors is an integer number (266519400).

Almost surely, 2^36179481600 is an apocalyptic number.

36179481600 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 36179481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70361121600).

36179481600 is an abundant number, since it is smaller than the sum of its proper divisors (104542761600).

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

36179481600 is a wasteful number, since it uses less digits than its factorization.

36179481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 36179481600 in words is "thirty-six billion, one hundred seventy-nine million, four hundred eighty-one thousand, six hundred".