1036686336000 has 1344 divisors, whose sum is σ = 4111605598464. Its totient is φ = 231211008000.

The previous prime is 1036686335959. The next prime is 1036686336001. The reversal of 1036686336000 is 6336866301.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1036686336001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10687487952 + ... + 10687488048.

It is an arithmetic number, because the mean of its divisors is an integer number (3059230356).

Almost surely, 2^{1036686336000} is an apocalyptic number.

1036686336000 is a gapful number since it is divisible by the number (10) 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 1036686336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055802799232).

1036686336000 is an abundant number, since it is smaller than the sum of its proper divisors (3074919262464).

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

1036686336000 is an frugal number, since it uses more digits than its factorization.

1036686336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 1036686336000 in words is "one trillion, thirty-six billion, six hundred eighty-six million, three hundred thirty-six thousand".