36861729988608 has 1344 divisors, whose sum is σ = 132095777748480. Its totient is φ = 9669810585600.

The previous prime is 36861729988607. The next prime is 36861729988621. The reversal of 36861729988608 is 80688992716863.

36861729988608 is a `hidden beast` number, since 368 + 6 + 172 + 9 + 9 + 8 + 86 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36861729988607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111364743003 + ... + 111364743333.

It is an arithmetic number, because the mean of its divisors is an integer number (98285548920).

Almost surely, 2^{36861729988608} is an apocalyptic number.

36861729988608 is a gapful number since it is divisible by the number (38) 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 36861729988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66047888874240).

36861729988608 is an abundant number, since it is smaller than the sum of its proper divisors (95234047759872).

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

36861729988608 is a wasteful number, since it uses less digits than its factorization.

36861729988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 36861729988608 in words is "thirty-six trillion, eight hundred sixty-one billion, seven hundred twenty-nine million, nine hundred eighty-eight thousand, six hundred eight".