36675846144 has 612 divisors, whose sum is σ = 130534133184. Its totient is φ = 10255859712.

The previous prime is 36675846131. The next prime is 36675846173. The reversal of 36675846144 is 44164857663.

36675846144 is a `hidden beast` number, since 36 + 67 + 58 + 461 + 44 = 666.

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

Its product of digits (11612160) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 780337129 + ... + 780337175.

Almost surely, 2^36675846144 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 36675846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65267066592).

36675846144 is an abundant number, since it is smaller than the sum of its proper divisors (93858287040).

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

36675846144 is an frugal number, since it uses more digits than its factorization.

36675846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 36675846144 in words is "thirty-six billion, six hundred seventy-five million, eight hundred forty-six thousand, one hundred forty-four".