36669027744 has 288 divisors, whose sum is σ = 113143552704. Its totient is φ = 11222016000.

The previous prime is 36669027739. The next prime is 36669027779. The reversal of 36669027744 is 44772096663.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65131207 + ... + 65131769.

It is an arithmetic number, because the mean of its divisors is an integer number (392859558).

Almost surely, 2^36669027744 is an apocalyptic number.

36669027744 is a gapful number since it is divisible by the number (34) 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 36669027744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56571776352).

36669027744 is an abundant number, since it is smaller than the sum of its proper divisors (76474524960).

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

36669027744 is a wasteful number, since it uses less digits than its factorization.

36669027744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 36669027744 in words is "thirty-six billion, six hundred sixty-nine million, twenty-seven thousand, seven hundred forty-four".