36156672000 has 384 divisors, whose sum is σ = 133692249600. Its totient is φ = 9639936000.

The previous prime is 36156671963. The next prime is 36156672001. The reversal of 36156672000 is 27665163.

It is a tau number, because it is divible by the number of its divisors (384).

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 (36156672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6909385 + ... + 6914615.

It is an arithmetic number, because the mean of its divisors is an integer number (348156900).

Almost surely, 2^36156672000 is an apocalyptic number.

36156672000 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 36156672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66846124800).

36156672000 is an abundant number, since it is smaller than the sum of its proper divisors (97535577600).

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

36156672000 is an equidigital number, since it uses as much as digits as its factorization.

36156672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 36156672000 in words is "thirty-six billion, one hundred fifty-six million, six hundred seventy-two thousand".