36836861128704 has 1248 divisors, whose sum is σ = 138467478912000. Its totient is φ = 9590789505024.

The previous prime is 36836861128699. The next prime is 36836861128723. The reversal of 36836861128704 is 40782116863863.

36836861128704 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 6 + 8 + 611 + 2 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5565317907 + ... + 5565324525.

Almost surely, 2^{36836861128704} 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 36836861128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69233739456000).

36836861128704 is an abundant number, since it is smaller than the sum of its proper divisors (101630617783296).

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

36836861128704 is a wasteful number, since it uses less digits than its factorization.

36836861128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 36836861128704 in words is "thirty-six trillion, eight hundred thirty-six billion, eight hundred sixty-one million, one hundred twenty-eight thousand, seven hundred four".