36488164608 has 1008 divisors, whose sum is σ = 138978395136. Its totient is φ = 9316270080.

The previous prime is 36488164561. The next prime is 36488164619. The reversal of 36488164608 is 80646188463.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 688455910 + ... + 688455962.

It is an arithmetic number, because the mean of its divisors is an integer number (137875392).

Almost surely, 2^36488164608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36488164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69489197568).

36488164608 is an abundant number, since it is smaller than the sum of its proper divisors (102490230528).

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

36488164608 is an equidigital number, since it uses as much as digits as its factorization.

36488164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 36488164608 in words is "thirty-six billion, four hundred eighty-eight million, one hundred sixty-four thousand, six hundred eight".