36706086144 has 648 divisors, whose sum is σ = 136364397120. Its totient is φ = 9536237568.

The previous prime is 36706086107. The next prime is 36706086167. The reversal of 36706086144 is 44168060763.

It is a happy number.

36706086144 is a `hidden beast` number, since 36 + 7 + 0 + 608 + 6 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36706086144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547851999 + ... + 547852065.

Almost surely, 2^36706086144 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 36706086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68182198560).

36706086144 is an abundant number, since it is smaller than the sum of its proper divisors (99658310976).

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

36706086144 is an equidigital number, since it uses as much as digits as its factorization.

36706086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36706086144 in words is "thirty-six billion, seven hundred six million, eighty-six thousand, one hundred forty-four".